Question

The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, $V_1$ and $V_2$. When $V_1>V2$ , the

• A. Curves have the same slope and do not intersect
• B. Curves must intersect at some point other than T=0
• C. Curve for has a greater slope than that for
• D. Curve for has a greater slope than that for

Answer 1

The correct option is C

Curve for has a greater slope than that for

At constant volumes $P\infty T$

P = constant T; PV = nRT $\therefore P=\frac{nR}{V}T$

Slope $=m=\frac{nR}{V}\because V_2<V_1$

$\frac{m_1}{m_2}=\frac{V_2}{V_1}\therefore m_1<m_2$ is curve for $V_2$ has a greater slope than for $V_1$