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In a reversible isothermal expansion process fluid expands from 10 bar and 2 m3 to 2 bar and 10 m3. During the process the heat supplied is at the rate of 100 kW. What is the rate of work done during the proces
  • a)
    20 kW
  • b)
    35 kW
  • c)
    80 kW
  • d)
    100 kW
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a reversible isothermal expansion process fluid expands from 10 bar...
Note that in case of reversible isothermal expansion change in internal energy is zero hence
δQ = δW= 100 kW
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Most Upvoted Answer
In a reversible isothermal expansion process fluid expands from 10 bar...
Given data:
- Initial pressure (P1) = 10 bar
- Final pressure (P2) = 2 bar
- Initial volume (V1) = 2 m^3
- Final volume (V2) = 10 m^3
- Heat supplied (Q) = 100 kW

To find: Rate of work done during the process

The process is described as a reversible isothermal expansion, which means the temperature of the fluid remains constant throughout the process. In an isothermal process, the work done is given by the equation:

W = Q - ΔU

where W is the work done, Q is the heat supplied, and ΔU is the change in internal energy of the fluid.

In this case, since the process is isothermal, ΔU = 0, because the temperature remains constant. Therefore, the work done is equal to the heat supplied:

W = Q

Substituting the given values, we have:

W = 100 kW

So, the rate of work done during the process is 100 kW, which is option D.
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