Question

The pressure of an ideal gas is 4 atm. If the only change is to increase the temperature by a factor of 4, what will be the new pressure of the gas. Use (Pv=NkT)

Answer 1

Answer:

The new pressure is 4 times of the initial pressure.

Explanation:

Given that,

The pressure of an ideal gas is 4 atm.

We need to find the change in the pressure of the gas if the temperature by a factor of 4.

We know that,

PV = nKT ....(1)

P = pressure, V = volume, T = temperature

Let P' is the new pressure of the gas. So,

P'V= nK(4T) ......(2)

Dividing equation (1) and (2) we get :

$\dfrac{P}{P'}=\dfrac{T}{4T}\\\\\dfrac{P}{P'}=\dfrac{1}{4}\\\\P'=4P$

It means that the new pressure is 4 times of the initial pressure.