Chemical Thermodynamics Question 102
Question: The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of 10 litres to 20 litres at $ 25^{o}C $ is [CMC Vellore 1991]
Options:
A) $ 2.303\times 298\times 0.082,\log ,2 $
B) $ 298\times 10^{7}\times 8.31\times 2.303,\log ,2 $
C) $ 2.303\times 298\times 0.082,\log ,0.5 $
D) $ 8.31\times 10^{7}\times 298-2.303,\log ,0.5 $
E) $ 2.303\times 298\times 2,\log ,2 $
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Answer:
Correct Answer: B
Solution:
$ W=2.303nRT\log \frac{V_2}{V_1} $
$ =2.303\times 1\times 8.314\times 10^{7},\times 298,\log \frac{20}{10} $
$ =298\times 10^{7},\times 8.314\times 2.303\log 2 $ .
