Question

A $8$ litre container has gas at $14$ atm. Pressure is connected to another empty vessel of volume $20$ litres. Find the pressure exerted by the gas in the new system at constant temperature.

Answer 1

We know that PV=constant [at constant temperature]

$\therefore P_1{V}_1=P_2{V}_2$

Now, initial pressure=$P_1$=14 atm

initial volume=$V_1$=8 litre

final volume=$V_2$=8+20=28 litre

$\therefore$ final pressure=$\frac{14\times 8}{28}$=4 atm

$\therefore$The pressure exerted by the gas in the new system at constant temperature will be 4 atm.

Ans-4