A) \[1.728\times {{10}^{7}}J\]
B) \[2.8\times {{10}^{6}}J\]
C) \[5J\]
D) \[10J\]
E) \[15J\]
Correct Answer: A
Solution :
Q = work done by the gas \[Q=\mu RT{{\log }_{e}}\left( \frac{{{p}_{1}}}{{{p}_{2}}} \right)\] \[Q=(10\times 1000\text{ }mol)\times (8.31)\] \[\times 300\times {{\log }_{e}}\left( \frac{8}{4} \right)\] \[Q={{10}^{4}}\times 8.31\times 300\times 2.302\times 0.301\] \[Q=1.728\times {{10}^{7}}J\]
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