Question

A 3.0 L container holds a sample of hydrogen gas at 300k. If the temperature decreases to 200k and the pressure remains constant what will the volume be

Answer 1

Answer : The volume will be, 2 L

Solution :

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

`V\propto T`

or,

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1` = initial volume of gas = 3 L

`V_2` = final volume of gas = ?

`T_1` = initial temperature of gas = 300 K

`T_1` = final temperature of gas = 200 K

Now put all the given values in the above formula, we get the final volume of gas.

`(3L)/(300K)=(V_2)/(200K)`

`V_2=2L`

Therefore, the volume of gas will be, 2 L

Answer 2

We can apply Charles's law:
V/T = constant

V₁/T₁ = V₂/T₂
V₂ = 3 x 200 / 300
V₂ = 2 L