Question

A gas initial volume and pressure is 5m^3 and 101320 Pa and allows to expand up to 12m^3 then what is the final pressure?

Answer 1

New pressure = 42216.66 Pa

Step-by-step explanation:

Given that,

Initial volume, V₁ = 5 m³

Final pressure, P₁ = 101320 Pa

Final volume, V₂ = 12 m³

We need to find the final pressure of the gas. We know that the relation between pressure and volume is given by :

`P\propto (1)/(V)\\\\P_1V_1=P_2V_2\\\\P_2=(P_1V_1)/(V_2)\\\\P_2=(101320 * 5)/(12)\\\\P_2=42216.67\ Pa`

So, the new pressure is equal to 42216.66 Pa.