Question

An ideal gas is confined to a container with adjustable volume. The pressure and mole number are constant. By what factor will volume change if absolute temperature doubles?

Answer 1

The idea gas equation is given by PV = n RT

where P = presuure of gas = constant

n = mole number = constant

R = universal gas constant = constant

v= volume of the gas

T =absolute temperature of the gas

$\Rightarrow$   V $\alpha$ T $\Rightarrow$

$\Rightarrow$

= $V_{1}\times 2 T_{1} / T_{1}$ , as intial absolute temperature $T_{1}$ is doubled

= 2 $V_{1}$

There fore if absolute temperature doubles , then the volume also doubles as per the conditions provided in the problem.