The mass flow rate of cooling water required is 42.2 kg/s.
To find the mass flow rate of cooling water required, we need to use the energy balance equation. Since the turbine operates adiabatically, there is no heat transfer involved in the turbine.
The energy balance equation for the condenser can be written as:
m°steam * (hin - hout) = m°water * (hout - hin)
Where m°steam is the mass flow rate of steam, hin and hout are the specific enthalpies of the steam at the inlet and outlet of the turbine, respectively. m°water is the mass flow rate of cooling water and hout and hin are the specific enthalpies of the cooling water at the outlet and inlet of the condenser, respectively.
Since the steam exits the turbine as a saturated vapor, its specific enthalpy can be found from the steam tables. At a pressure of 8 kPa, the specific enthalpy of saturated vapor is 2561.5 kJ/kg.
The specific enthalpy of saturated liquid at 8 kPa can also be found from the steam tables, which is 191.81 kJ/kg.
Substituting these values into the energy balance equation, we get:
4.68 * (2561.5 - 191.81) = m°water * (4.18 * (36 - 18))
Solving for m°water, we get:
m°water = 42.2 kg/s
Therefore, the mass flow rate of cooling water required is 42.2 kg/s.
Learn more about Mass flow rate at:
https://brainly.com/question/15088427
#SPJ11
from the expression for y(t), what is the ‘time constant ‘ ’’ of the response – what does it mean? what is y(t) if the time constant ‘ ’ = 1/a ?
The expression for y(t) in a typical first-order linear time-invariant system can be given as y(t) = A (1 − e^(-t/τ)) where τ is the time constant of the response.
The time constant, represented by the Greek letter tau (τ), is the time required for the system's response to reach 63.2% of its steady-state value. It represents the time taken by the system to respond to a step input or disturbance and reach 63.2% of its final value.
If the time constant is given as 'a', then y(t) can be expressed as y(t) = A(1 - e^(-at)). This means that the system response will reach 63.2% of its steady-state value after a time duration of 'a'.
Therefore, if the time constant is equal to 1/a, then the expression for y(t) can be written as y(t) = A(1 - e^(-t/(1/a))) which is equivalent to y(t) = A(1 - e^(-at)).
In summary, the time constant is a measure of how fast a system can respond to a step input or disturbance, and it is equal to the time taken by the system to reach 63.2% of its steady-state value.
Know more about time constant here:
https://brainly.com/question/32577767
#SPJ11
A _________ conversion involves running the old and new systems simultaneously for a time, which is is rarely used, since it impractical for customer-facing e-commerce systems.
Compare and contrast direct conversion and parallel conversion.
what is the exact process involved?
Both conversion tactics center on how users are transitioned to the new system. The old system is "unplugged" and the new system is turned on in a direct conversion. The new system must be used by the users; they have no other option. The old system is temporarily used while the new system is activated in the parallel conversion plan. The direct approach is obviously more dangerous because there is no backup in the event that severe system problems are found.
If a significant flaw in the new system is found, the parallel conversion will keep the old system operational. However, the expense and additional work of utilizing both systems at once must be taken into account.
Hence to conclude Compare and contrast direct conversion and parallel conversion involves running the old and new systems
To know more on compare and direct conversions follow this link
https://brainly.com/question/3164773
#SPJ1
In 2009 an explosive eruption covered the island of Hunga Ha'apai in black volcanic ash. What type of succession is this?
Answer:
The type of succession is:
Primary succession
Explanation:
This is a type of succession that occurs after a volcanic eruption or earthquake; it involves the breakdown of rocks by lichens to create new, nutrient rich soils.
Primary succession is one of the two types of succession we have. It begins on rock formations, such as volcanoes or mountains, or in a place with no organisms or soil.
Determine the reactions at the roller B the rocker C, and where the beam contacts the smooth plane at A. Neglect the thickness of the beam. Suppose that F1 = 450 N and F2 = 720 N (Figure 1)
To determine the reactions at points A, B, and C, we will first need to analyze the forces and moments acting on the beam. Given that F1 = 450 N and F2 = 720 N, we can use the following steps:
1. Calculate the sum of the vertical forces, which should be equal to zero for static equilibrium:
ΣFy = Ay + By + Cy - F1 - F2 = 0
2. Calculate the sum of the moments about point A, which should also be equal to zero for static equilibrium:
ΣMA = (F1 * d1) + (F2 * d2) - (Cy * d3) = 0
Here, d1, d2, and d3 are the distances from point A to the points where the forces F1, F2, and Cy are applied.
3. Solve for the unknown reactions Ay, By, and Cy using the above equations.
Note that without the distances (d1, d2, and d3) or a diagram (Figure 1), it is not possible to provide specific numerical values for the reactions at A, B, and C.
learn more about analyze the forces here:
https://brainly.com/question/30815592
#SPJ11
write a matlab (or octave) function that plots the fourier series ap- proximation up to the n harmonics of the stair step function.
CODE :
function plotFourierSeriesApprox(n)
x = 0:0.01:2*pi;
y = 0;
for i = 1:n
y = y + (2/i)*sin(i*x);
end
plot(x, y);
end
What is code 
Code is a set of instructions that are used to create a program or application. It is written in a programming language, such as Java, C++, and Python. Code consists of statements that are used to control the flow of the program, assign values to variables, and manipulate data. Code can also be used to define complex algorithms, create user interfaces, and automate processes. The code is then compiled or interpreted by a computer to create the finished program or application. Code is a powerful tool and can be used to create almost anything. Properly written code can be highly efficient, secure, and reliable.
To know more about code 
https://brainly.com/question/17204194
#SPJ4
a caisson is a watertight enclosure that can be pumped dry so that construction activities, such as the construction of piers can take place. _______
A caisson is a watertight enclosure that can be pumped dry so that construction activities, such as the construction of piers can take place. A caisson is a watertight structure or chamber, usually made of wood, metal, or concrete, that is sunk to the bed of a river, lake, or ocean to provide a foundation or support for a bridge, building, or other structure.
A caisson is constructed onshore and then floated to the location where it is to be sunk into the water. Once in place, water is pumped out of the caisson, and construction workers enter the dry chamber to begin work on the foundation or support structure. The use of caissons has been an important development in the construction of bridges and other structures in areas with deep water or unstable soils.
A foundation called a caisson is used in construction on soft or deep water. It involves filling a series of large, watertight cylinders with concrete and sinking them into the ground. The base serves as a solid foundation for any subsequent structures. The construction of large structures like bridges, docks, and caissons is common.
Know more about caisson, here:
https://brainly.com/question/16249983
#SPJ11
Tech a says that the difference between the stored pulse width and the actual pulse width required to keep the mixture at the correct ratio is called fuel trim. Tech b says that long-term fuel trim values can be positive or negative. Who is correct?.
Tech B says that the long-term trim values can be positive or negative, which is correct, while Tech A is wrong.
What Is Negative Long-Term Fuel Trim?
Negative long-term fuel trim (LTFT) is a condition in which your vehicle's computer has altered the air-fuel mixture delivered to the engine, resulting in less power than the engine is capable of producing.
The computer attempts to compensate by running the engine leaner (sending more fuel) or richer (sending less fuel).
While this can be caused by a variety of factors, it usually indicates that one of your engine's sensors is malfunctioning or that the catalytic converter needs to be replaced.
It is critical to have a negative LTFT diagnosed and repaired as soon as possible. It can cause serious engine damage if left unchecked.
To learn more about Fuel, visit: https://brainly.com/question/17080562
#SPJ4
The cost to rent a scooter is $15.50 per hour and the cost to rent a watercraft is $22.80 per hour use the expression 15.5 S +22.8 W you The cost to rent a scooter is $15.50 per hour and the cost to rent a water craft is $22.80 per hour use the expression 15.5 S +22.8 W you you
Complete Question:
The cost to rent a scooter is $15.50 per hour and the cost to rent a watercraft
is $22.80 per hour. Use the expression 15.5s + 22.8w to determine how much it would cost to rent a scooter for 3 hours and a watercraft for 1 hours.
Answer:
$69.39
Explanation:
Given
15.5s + 22.8w
Required
Evaluate, when w = 1 and s = 3
To do this, we simply substitute 3 for a and 1 for w in the given expression.
15.5s + 22.8w becomes..
15.5 * 3 + 22.8 * 1
46.5 + 22.8
69.3
Hence, the cost is $69.30
giving a matrix for example a=[1 1 1 1 ;0 2 1 2 ;0 0 0 0; 2 3 1 0; 0 0 0 1];
I want to find a patter of the number for example extra patter one and 0 ([1 0]
I want to out put the location of the pattern happens in a excel and text format.
USE MATLAB
Using MATLAB, you can find the location of a specific pattern, such as the pattern [1 0], in a matrix and output the results in both Excel and text formats.
To find the location of a specific pattern in a matrix, you can use the 'strfind' function in MATLAB. The 'strfind' function is typically used to search for a substring within a string, but it can also be used to find a pattern within a matrix.
In this case, the pattern you are looking for is [1 0]. To find the location of this pattern in the matrix 'a', you can convert the matrix to a string representation using the 'num2str' function. Then, you can use 'strfind' to search for the pattern in the string representation of the matrix.
Once you have the indices of the pattern occurrences, you can export the results to an Excel file using the 'xlswrite' function or to a text file using the 'fprintf' function.
By using these MATLAB functions, you can efficiently find the location of the pattern [1 0] in the matrix 'a' and export the results in both Excel and text formats.
Learn more about MATLAB,
brainly.com/question/30763780
#SPJ11
The mean of 10 numbers is 9, then the sum (total) of these numbers will be
Answer:
90
Explanation:
mean is basically taking the sum of all numbers and then dividing the sum with the number of all given numbers..
here, the mean is 9, total numbers are 10.. so the sum will be 9 multiplied by 10, that is 90.
If the mean of 10 numbers is 9, then the sum (total) of these numbers will be 90. The correct option is D.
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean can be calculated in a variety of ways, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. Mean is denoted by a small m.
To calculate mean: Arrange the data items in ascending order from least to greatest. If the number of points is odd, the median is the data point in the middle of the list. If the number of data points in the list is even, the median is the average of two middle data points.
Mean = total sum of the numbers/total numbers
9 = total sum of the numbers / 10
The sum of the terms = 9 x 10 = 90
90 = total sum of the numbers
Therefore, the correct option is D. 90
To learn more about the mean, refer to the link:
https://brainly.com/question/28670966
#SPJ2
The question is incomplete. Your most probably complete question is given below:
A. 9. B. 0.9. C. 70. D. 90
can you solve it please
 
                                                Answer:
nosenose
Explanation:
aaaaaaaaaaaa
Answer every question of this quiz
Please note: you can answer each question only once.
Which number shows the intake valve?
OK
 
                                                I'd say number 4, number 3 looks like an exhaust valve
What is the main difference between a generator and a motor?
A
Generator - mechanical energy to electrical energy
Motor - electrical energy to mechanical energy
a motor and generator only use electrical energy
Generator - electrical energy to mechanical energy
Motor - mechanical energy to electrical energy
D
They are the same machine.
Answer:
genorator- electrical to mechanical
motor- mechanical to electrical
Many architects are innovators. Select the examples of innovation presented in this chapter.
A. Arches
B. Flying buttresses
C. Horizontal ribbon windows
D. Flat pack modules
E. Solar panels with DC microgrids
F. A, B, and C only
G. A, B, and D only
The options A, B, and C are the correct examples of innovation presented in the chapter by architects.
how we know that?
A, B, and C only are the examples of innovation presented in the chapter that are the innovation presented by architects
.What is innovation? Innovation is the process of creating something new or improved, or introducing something new to the market or society.
To produce a new or improved version of something, one must have the desire and resources to do so.
Many architects are innovators, and this chapter provides examples of their innovation.
The following examples of innovation are presented in this chapter :Arches Flying buttresses Horizontal ribbon windows Innovators and architects are usually the ones who are concerned with designing, developing, and enhancing our built environment.
Architects are responsible for designing and planning a wide range of structures and spaces that meet the demands of clients while adhering to rigorous industry and ethical standards.
It is said that architects have a hand in everything from the types of materials and building techniques used in construction to how people interact with the building they design.
Flat pack modules and solar panels with DC microgrids are innovative solutions in today's world, making it more efficient, sustainable, and cost-effective.
These new, cutting-edge solutions are ideal for the modern age, where the need for eco-friendly construction and sustainable living is becoming increasingly important.
Learn more about architects are innovators
brainly.com/question/20984456
#SPJ11
Hãy tính phản lực liên kết tại ngàm A, bản lề C và gói di động D biết p=400N/m
P1=100N
P2=200
P3=300
M1=100N/m
N2=200N/m
Answer:
say in English plz I don't understand
Find the product of the given polynomials.
The product of the given polynomials (5x + 8 - 6x) and (4 + 2x - 7) is equal to -2x² + 19x - 24.
What is a polynomial?A polynomial can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as:
AdditionSubtractionMultiplication (product)Note: The exponents of the variables are added when multiplying polynomials in accordance to the rules of exponents.
Next, we would simplify each factor as follows:
5x + 8 - 6x = 8 - x
4 + 2x - 7 = 2x - 3
Now, we can multiply them together as follows:
Product = (8 - x)(2x - 3)
Product = 16x - 24 - 2x² + 3x
By collecting like terms, we have:
Product = 2x² + 3x + 16x - 24
Product = -2x² + 19x - 24
Read more on polynomials here: https://brainly.com/question/4208354
#SPJ1
Complete Question:
Find the product of the given polynomials (5x+8-6x) and (4+2x-7)
Why do drivers always yield to emergency vehicles with lights and sirens
Answer:
So The emergency vehicle can pass so they can get to where they need to go
Explanation:
QUESTION 4 Which of the following is not one of the four
criteria to create a HPWS? a. Rare b. Easy to imitate c. Organized
d. Valuable
The criterion that is not one of the four criteria to create a High-Performance Work System (HPWS) is "b. Easy to imitate." This criterion does not contribute to the creation of an effective HPWS. The other criteria, "a. Rare," "c. Organized," and "d. Valuable," are essential for establishing a successful HPWS.
When creating a High-Performance Work System, organizations focus on specific criteria to achieve desired outcomes. The first criterion is "a. Rare," which means the system should possess unique features or characteristics that are not commonly found in other organizations. This uniqueness allows the organization to gain a competitive advantage. The second criterion is "c. Organized," emphasizing the need for a well-structured and coordinated system that aligns with organizational goals and objectives. The third criterion is "d. Valuable," indicating that the system should provide significant value and contribute to the overall performance and success of the organization. However, the criterion "b. Easy to imitate" is not considered one of the criteria for creating a HPWS because the aim is to establish a system that is difficult for competitors to replicate, ensuring a sustained competitive advantage.
Learn more about High-Performance Work System here : brainly.com/question/32191789
#SPJ11
If the total length of a measurement is 10 1/2" what is half of this length?
Answer:
13.335 CM (1 ft, 1.335 cm)
I am 80% sure this is the answer, but i am not too keen on math so if i am wrong let me know and i will try my best to fix it!
I hope this helped! Have a good day :]
inspections may be_____ or limited to a specific area such as electrical or plumbing
A. Metering
B. General
Define and discuss properties of Unit Impulse, Unit Step, and Unit Ramp Signals. Also discus relationship between these signals. (Ref. see page 80−83 of the textbook) - Discuss sampling and convolution properties of unit impulse signal/function, δ(t).
The unit impulse signal is a function of time that is zero everywhere except at time t=0, where it has an infinite value. This function is often used to model the behavior of systems that are highly localized in time, such as the response of an idealized sensor to a sudden stimulus. The properties of the unit impulse signal include the fact that it is symmetric about t=0, it has an area of 1, and it can be used to define other functions by convolution. 
The unit step signal, also known as the Heaviside function, is a function of time that is zero for t<0 and one for t>=0. This function is often used to model the behavior of systems that have a sudden change in behavior at a particular time, such as the opening of a switch or the start of an experiment. The properties of the unit step signal include the fact that it is continuous everywhere except at t=0, it has a derivative of zero everywhere except at t=0, and it can be used to define other functions by convolution. 
The unit ramp signal is a function of time that is zero for t<0 and t for t>=0. This function is often used to model the behavior of systems that have a linearly increasing response over time, such as the motion of an object under constant acceleration. The properties of the unit ramp signal include the fact that it is continuous everywhere, it has a derivative of one for t>=0, and it can be used to define other functions by convolution. 
The relationship between these signals can be defined in terms of convolution. For example, the convolution of the unit step signal with the unit imp signal is equal to the unit step signal itself. Similarly, the convolution of the unit ramp signal with the unit ulseulse signal is equal to the derivative of the unit step signal. 
The sampling property of the unit impulse signal is that it can be used to define other signals by sampling. For example, if we sample a continuous signal x(t) at intervals of T seconds, we obtain a sequence x(nT), where n is an integer. This sequence can be expressed as the sum of scaled and shifted unit impulse signals, i.e., x(nT) = ∑ x(kT)δ(n-k). 
The convolution property of the unit impulse signal is that it can be used to define other signals by convolution. For example, if we convolve a continuous signal x(t) with the unit impulse signal, 
we obtain x(t)*δ(t) = x(t), since the unit impulse signal acts as the identity element of convolution.
Similarly, if we convolve a continuous signal x(t) with the derivative of the unit impulse signal, we obtain x(t)*d/dt[δ(t)] = d/dt[x(t)], since the derivative of the unit impulse signal acts as a differentiator.
Learn more about Signal Properties and Relationships:
https://brainly.com/question/33222599
#SPJ11
Refrigerant-134a at 1 MPa and 100 C is to be cooled to 1 MPa and 28 C in a condenser by air. The air enters at 125 kPa and 25 C with a mass flow rate of 697 kg/min and leaves at 97 kPa and 58 C. Determine the mass flow rate of the refrigerant. Assume air has a constant heat capacity determined at room temperature. Report the mass flow rate of the refrigerant in kg/min with one decimal digit, for example 95.3 or 105.6.
If a 3000lb car travels around a curve of radius rho=600ft, determine the components of friction (tangential and normal) and the total friction at the instant its speed is 75ft/s which is increasing at a rate rate of 6ft/s².
Given data:Mass of the car, m = 3000 lbRadius of the curve, ρ = 600 ftSpeed of the car, v = 75 ft/sRate of change of speed, a = 6 ft/s²Frictional force is the force that opposes the motion of the body in contact with a surface.
When a car moves around a curve, the frictional force is present because the car tries to move in a straight line, but the road's curvature doesn't allow it to do so. The frictional force balances the centripetal force so that the car moves around the curve. This frictional force is known as the lateral frictional force.
Hence, the tangential component of friction is given by:f
= ma
= 3000 lb × (6 ft/s²)
= 18,000 lbThe normal force acting on the car is given by:FN
= mg
= 3000 lb × 32.2 ft/s²
= 96,600 lbThe angle between the frictional force and the horizontal is given by:tanθ
= f / FNθ
= tan⁻¹ (f / FN)
= tan⁻¹ (18,000 / 96,600)
= 10.72°Hence, the components of friction are given by:FNsinθ
= 96,600 lb × sin(10.72°) ≈ 17,282.4 lbfFNcosθ = 96,600 lb × cos(10.72°) ≈ 93,538.2 lbfThe total frictional force acting on the car is given by:F = √(f² + FN²) ≈ 98,937.5 lbfTherefore, the tangential component of friction is about 18,000 lb, the normal component of friction is about 17,282.4 lbf, and the total frictional force acting on the car is about 98,937.5 lbf.
To know more about motion visit:
https://brainly.com/question/2748259
#SPJ11
What are the infrastructure requirements for
utilizing natural gas?
PEOPLE PLEASE HELPPP!!
Answer:
proper piping, lining, and power plants.
Explanation:
Answer:
The required infrastructure to utilize natural gas are proper piping, lining, and power plants.
Explanation:
Which terms refers to the ability to make sense of a situation more accurately?
We can see here that the term that refers to the ability to make sense of a situation more accurately is sensemaking.
What is a sensemaking?Sensemaking is the process of creating meaning and understanding out of complex and ambiguous information or situations. It involves gathering data, identifying patterns, and forming coherent narratives or mental models to make sense of the world.
In sensemaking, individuals or groups attempt to fill in gaps in their understanding by drawing on their existing knowledge, beliefs, and experiences.
Learn more about sensemaking on https://brainly.com/question/29771562
#SPJ4
-0-1"
-0
-20
-15
-10
0
-5
75743366
Explanation:
Determine numerical values for each of the three mesh currents as labeled in
the circuit diagram of Fig. 4.58.
 
                                                The numerical values for the mesh currents that we have in the question are given as:
1i = 0.9892 = 0.9892 amperei2 = 0.1501 amperei3 = 0.1570 ampereHow to solve for the values of the mesh currentWe first have to write the KVL
2 - 1(i₁ - i₂) + 3 - 5(i₁ - i₃) = 0
We have to expand the equation that we have above
2 - i₁ + i₂ + 3 - 5i₁ + 5i₃ = 0
take like terms
-i₁ - 5i₁ i₂ + 5i₃ = 5
= 6i₁ - i₂ - 5i₃ = 5
-1(i₂ - i₁) - 6 i₂ - 9(i₃ - i2) = 0
after expanding we would have
i₁ - 16i₂ + 9i₃ = 0------- equation 2
-5 (i3 - i1) - 3 - 9(i3 - i2) - 7i3 = 0
5i1 + 9i2 - 2i3 = 3 ------ equation 3
From the equations that we have in 1, 2 and 3, we would solve the system of equations to get
1i = 0.9892 = 0.9892 ampere
i2 = 0.1501 ampere
i3 = 0.1570 ampere
These are the mesh current that are in the labeled diagram.
Read more on mesh current here:
https://brainly.com/question/28192863
#SPJ1
Select the correct answer.
Which chemical can you use to assist with your motor fuel needs?
O A.
ethylene glycol
OB.
ethanol
O c.
butanol
OD.
pentanol
O E.
propranolol
Reset
Next
Answer: Ethanol
Explanation:
In low-speed external water flow over a bluff object, vortices are shed from the object. The vortex shedding produced by a particular object is to be studied in a water tunnel at a 1/4 scale model (model 1/4 the size of the prototype). After a dimensional study, it is found that the Pi terms of this phenomenon are the Reynolds number and the Strouhal number:Re = pVd/muSt = fd/Vwhere f is the frequency of the vortex shedding, V the velocity of the flow, d the characteristic length of the object, and p and mu the density and viscosity of the flow. 1. If the prototype speed is 7 m/s, determine the water velocity in the tunnel for the model tests. 2. If the model tests of part 1 produced a model shedding frequency of 200 Hz, determine the expected vortex shedding frequency on the prototype.
Answer:
1) the water velocity in the tunnel for the model tests is 28 m/s
2) the expected vortex shedding frequency on the prototype is 12.5 Hz
Explanation:
Given the data in the question;
1)
using the Reynolds number relation for prototype and model,
PpVpdp/mu(Prototype) = PmVmdm/mu(for model)
but we know that, density and viscosity in prototype and model will remain same so;
Vp × dp = Vm × dm
vm = Vp × dp/dm
we substitute
vm = 7 m/s × 4
vm = 28 m/s
Therefore, the water velocity in the tunnel for the model tests is 28 m/s
2)
we make use of the Strouhal number relation as given in the question;
fp × dp/Vp = fm × dm/Vm
frequency of the prototype will be;
fp = fm × dm/Vm / dp/Vp
we substitute
fp = 200 × 7 / ( 4 × 28 )
fp = 1400 / 112
fp = 12.5 Hz
Therefore, the expected vortex shedding frequency on the prototype is 12.5 Hz
Three single-phase loads in parallel are supplied from a 1400V (RMS), 60 Hz supply. The loads are as follows: Load 1: Inductive load: 125 kVA, 0.28 power factor Load 2: Capacitive load: 10 kW, 40 kVAR Load 3: Resistive load: 15 kW Find the total kW, kVAR, kVA, and supply power factor. (5 points) Find the capacitive correction (in kVARs) required to improve the power factor to 0.8 and calculate the supply current with this correction in place. (10 points) What is the least current that can service these three loads and how much compensation would it require
Answer:
The answer is below
Explanation:
\(\theta_1=cos^{-1}0.28=73.74^o\ lagging\\\\S_1=125\angle 73.74^o=35\ kW+j120\ kVAR\\\\S_2=10\ kW-j40\ kVAR\\\\S_3=15\ kW\)
Total power = P = 35 kW + 10 kW + 15 kW = 60 kW
Total kVAR = 120 kVAR - 40 kVAR = 80 kVAR
\(Total\ apparent \ power =S= S_1+S_2+S_3=(35+j120)+(10-j40)+(15)\\\\S=60\ kW+j80\ kVAR=100\angle 53.13^o\\\\Current(I)=\frac{S^*}{V^*} \frac{100000\angle -53.13^o}{1400\angle0}=71.43\angle-53.13^o\\ \\Power\ factor (PF)=cos(53.13)=0.6\ lagging\\\\The \ new\ power\ factor\ is\ to \ be\ 0.8[cos^{-1}0.8=36.87^o], hence\ since\ the\ total\ \\real\ power(P)= 60\ kW, the\ capacitor\ kVAR(Q_c)\ is:\\\\Q_c=60tan(53.13)-60tan(36.87)=80-45=35\ kVAR\\\\\)
\(C=\frac{Q_c}{wV^2} =\frac{35000\ VAR}{2\pi*60\ Hz*1400\ V}=47.38\ \mu f\)
New current (I') = \(\frac{S'^*}{V^*}=\frac{60000-j45000}{1400}=53.57\angle-36.87^o\)
Current reduce from 71.43 A to 53.57 A