Question

If $T$ represent the absolute temperature of an ideal gas, the volume coefficient of thermal expansion at constant pressure, is :

• A. $T$
• B. $T^2$
• C. $1/T$
• D. $1/T^2$

Answer 1

The correct option is C $1/T$

From the definition of ${\gamma }_p$

We have $V_t=V_0(1+{\gamma }_{p}t)$..........(1)

Again from Charle's law, $V_t=V_0(1+\frac{1}{T}t)$...........(2)

Comparing (1) and (2),

${\gamma }_p=\frac{1}{T}$

Hence,option C is correct.