1. Tardigrade
  2. Question
  3. Physics
  4. Suppose 0.5 mole of an ideal gas undergoes an isothermal expansion as energy is added to it as heat Q. Graph shows the final volume Vf versus Q. The temperature of the gas is (. use ln 9=2 and . R=(25/3) J / mol - K )

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Suppose $0.5$ mole of an ideal gas undergoes an isothermal expansion as energy is added to it as heat $Q$. Graph shows the final volume $V_{f}$ versus $Q$. The temperature of the gas is $\left(\right.$ use $\ln 9=2$ and $\left. R=\frac{25}{3} J / mol - K \right)$Physics Question Image

Thermodynamics

Solution:

$Q=W= n R T \ln \frac{V_{f}}{V_{i}}$
$T=\frac{Q}{n R \ln V_{f} / V_{i}}$
$=\frac{1500}{0.5 \times 25 / 3 \times \ln 3}$
$=\frac{1500}{0.5 \times 25 / 3 \times 1}=360\, K$