Question

10 dm^3 of hydrogen under 1 bar pressure are contained in a cylinder which has a movable piston. The piston is moved in until the same mass of gas occupies 2 dm^3 at the same temperature. What will be the pressure in the cylinder​

Answer 1

Answer : The pressure in the cylinder will be, 5 bar

Solution :

According to the Boyle's law, the pressure of the gas is inversely proportional to the volume of the gas at constant temperature.

$P\propto \frac{1}{V}$

or,

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure of gas = 1 bar

$P_2$ = final pressure of gas = ?

$V_1$ = initial volume of gas = $10dm^3$

$V_2$ = final volume of gas = $2dm^3$

Now put all the given values in the above formula, we get

$1bar\times 10dm^3=P_2\times 2dm^3$

$P_2=5bar$

Therefore, the pressure in the cylinder will be, 5 bar