Question

At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in kelvin temperature to its original volume is (T= absolute temperature of the gas) is

• A. $T^2$
• B. $T$
• C. $1/T$
• D. $\frac{1}{T^2}$

Answer 1

The correct option is C $1/T$

At constant pressure
$V$ $\propto$ $T$ $\Rightarrow$ $\frac{△V}{V}$ = $\frac{△T}{T}$.
Hence ratio of increase in volume per degree rise in kelvin temperature to its original volume
$=\frac{△V/△T}{V}$ = $\frac{1}{T}$