Solveeit Logo
Login

Question

Question: Thermal coefficient of volume expansion at constant pressure for an ideal gas sample of n moles havi...

Thermal coefficient of volume expansion at constant pressure for an ideal gas sample of n moles having pressure Po, volume Vo and temperature To is

A

RP0V0\frac { R } { P _ { 0 } V _ { 0 } }

B

P0V0R\frac { P _ { 0 } V _ { 0 } } { R }

C

1T0\frac { 1 } { T _ { 0 } }

D

1nT0\frac { 1 } { n T _ { 0 } }

Answer

1T0\frac { 1 } { T _ { 0 } }

Explanation

Solution

P0V0 = nRT

If temperature is changed to T without changing the pressure then

Po V = nRT

⇒ P0(V -V0) = nRT(T-T0) =>P0 AV = n R AT

using nR =P0V0T0\frac { P _ { 0 } V _ { 0 } } { T _ { 0 } }

ΔVΔT=V0T0\frac { \Delta V } { \Delta T } = \frac { V _ { 0 } } { T _ { 0 } }

Now thermal coefficient of volume expansion at constant pressure

1V0ΔVΔT=1T0\frac { 1 } { V _ { 0 } } \frac { \Delta V } { \Delta T } = \frac { 1 } { T _ { 0 } }