Question

If both the volume and the pressure of a gas are doubled, how will the absolute temperature change?

• A. It will increase by two times its original value
• B. It will decrease to one fourth of its original value
• C. It will stay the same as its original value
• D. It will increase by four times its original value

Answer 1

The correct option is D It will increase by four times its original value

The ideal gas law is the equation of state of a hypothetical ideal gas. It is a good approximation of the behaviour of many gases under many conditions

$PV=nRT$,

where:

$P$ is the pressure of the gas,

$V$ is the volume of the gas,

$n$ is the amount of substance of gas (in moles),

$R$ is the ideal, or universal, gas constant, equal to the product of the Boltzmann constant and the Avogadro constant,

$T$ is the absolute temperature of the gas

$P_0{V}_0=nR{T}_0$

When pressure and volume doubled,

$\Rightarrow 2P_0\times 2V_0\Rightarrow {4P}_0{V}_0=4\times nR{T}_0=nR\left(4T_0\right)\Rightarrow T=4T_0$

Temperature is increased by 4 times.

option D is correct.