Chemical Thermodynamics Question 122

Question: At $ 27^{o}C, $ one mole of an ideal gas is compressed isothermally and reversibly from a pressure of 2 atm to 10 atm. The values of $ \Delta E $ and q are $ (R=2) $ [BHU 2001]

Options:

A) 0, - 965.84 cal

B) - 965.84 cal, + 965.84 cal

C) + 865.58 cal, - 865.58 cal

D) - 865.58 cal, - 865.58 cal

Show Answer

Answer:

Correct Answer: A

Solution:

$ W=2.303,nRT,\log \frac{P_2}{P_1} $

$ =2.303\times 1\times 2\times 300,\log \frac{10}{2}=965.84 $ at constant temperature, $ \Delta E=0. $

$ \Delta E=q+w $ ; $ q=-w=-965.84,cal $ .



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