Question

One mole of an ideal monoatomic gas is heated a constant pressure of one atmosphere from $0^{o}C$ to ${100}^{o}C$. Then the work done by gas is

• A. $6.56J$
• B. $8.32\times {10}^{2}J$
• C. $12.48\times {10}^{2}J$
• D. $20.8\times {10}^{2}J$

Answer 1

Answer: (B)

$8.32\times {10}^{2}J$

$dQ=n{C}_{p}dT=1\times \frac{5}{2}R\times 100$
$=2077.5J=20.8\times {10}^{2}J$

$dU=n{C}_{v}dT$
$=1\times \frac{3}{2}R\times 100$
$=1246.5J$

$dW=dQ-dU$
$=8.31\times {10}^{2}J$