When the absolute temperature of gas is doubled then the correct statements are?

a) The V of a gas increases by 4 times at constant P

b) The P of a gas increases by 2 times at constant V

c) The V of a gas increases by 2 times at constant P

d) The P of a gas increases by 4 times at constant V

Ideal Gas Equation is $\mathrm{PV}=\mathrm{nRT}$

At constant pressure, $\frac{{\mathrm{V}}_1}{{\mathrm{V}}_2}=\frac{{\mathrm{T}}_1}{{\mathrm{T}}_2}$

Therefore, $\frac{{\mathrm{V}}_1}{{\mathrm{V}}_2}=\frac{\mathrm{T}}{2\mathrm{T}}$

Means, the volume of the gas is going to be doubled.

We have to see another possibility by keeping the volume constant.

At constant volume, $\frac{{\mathrm{P}}_1}{{\mathrm{P}}_2}=\frac{{\mathrm{T}}_1}{{\mathrm{T}}_2}$

Therefore, $\frac{{\mathrm{P}}_1}{{\mathrm{P}}_2}=\frac{{\mathrm{T}}_1}{{\mathrm{T}}_2}$

                   $\frac{{\mathrm{P}}_1}{{\mathrm{P}}_2}=\frac{\mathrm{T}}{2\mathrm{T}}$

That means, the pressure of the gas is going to be doubled.

Hence, the correct answer is option is option C.