1. Tardigrade
  2. Question
  3. Physics
  4. In a thermodynamic process two moles of a monatomic ideal gas obeys P propto V-2. If temperature of the gas increases from 300 K to 400 K, then find work done by the gas (where R= universal gas constant).

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In a thermodynamic process two moles of a monatomic ideal gas obeys $P \propto V^{-2}$. If temperature of the gas increases from $300\, K$ to $400\, K$, then find work done by the gas (where $R=$ universal gas constant).

Thermodynamics

Solution:

$P \propto V^{-2}$
$P V^{2}=$ constant
Compare with $P V^{N}=$ constant then $N=2$
$W=\mu\left(\frac{R}{1-N}\right) \Delta T$
$W=\frac{\mu R}{1-N}\left(T_{2}-T_{1}\right)$
$=\frac{2 \times R(400-300)}{(1-2)}$
$=-200 \,R$