AP EAMCET · PHYSICS · Thermodynamics
The work done to increase the volume of 2 moles of an ideal gas from V to 2 V at a constant temperature T is W. The work to be done to increase the volume of 2 moles of the same gas from 2 V to 4 V at the same constant temperature T is
- A 0.5 W
- B W
- C 2 W
- D 4 W
Answer & Solution
Correct Answer
(B) W
Step-by-step Solution
Detailed explanation
\( W = nRT \ln \left(\frac{V_f}{V_i}\right) \) \( W = 2RT \ln \left(\frac{2V}{V}\right) = 2RT \ln 2 \) \( W_{new} = 2RT \ln \left(\frac{4V}{2V}\right) = 2RT \ln 2 \) \( W_{new} = W \)
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