Question

The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes, $273^{o}C,2atm$ and $\sqrt{3}$. When $M/3$, the

• A. Curves have the same slope and do not intersect
• B. Curves must intersect at some point other than $M/\sqrt{3}$
• C. Curve for $1:\sqrt{2}:\sqrt{3}$ has a greater slope than that for$\sqrt{2}:\sqrt{3}:\sqrt{8/\pi}$
• D. Curve for$\sqrt{2}:\sqrt{8/\pi}:\sqrt{3}$has a greater slope than that for$SO_{2}$

Answer 1

Answer: (C)

Curve for $1:\sqrt{2}:\sqrt{3}$ has a greater slope than that for$\sqrt{2}:\sqrt{3}:\sqrt{8/\pi}$

Answer 2

At constant volumes$\rho_{A}$

P = constant T; PV = nRT $\rho_{B}$

slope = $D_{A} = \left\lbrack D_{B} \cdot \frac{\rho_{A}}{\rho_{B}} \right\rbrack^{1/2}$

$D_{A} = \left\lbrack D_{B} \cdot \frac{\rho_{A}}{\rho_{B}} \right\rbrack^{1/2}$ is curve for V₂ has a greater slope than for V₁