Answer : The temperature will be, 150 K
Explanation :
Charles' Law : This law states that volume of gas is directly proportional to the temperature of the gas at constant pressure and number of moles.
[tex]V\propto T[/tex] (At constant pressure and number of moles)
or,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas = 2.0 L
[tex]V_2[/tex] = final volume of gas = 1.0 L
[tex]T_1[/tex] = initial temperature of gas = 300 K
[tex]T_2[/tex] = final temperature of gas = ?
Now put all the given values in the above formula, we get the final temperature of gas.
[tex]\frac{2.0L}{300K}=\frac{1.0L}{T_2}[/tex]
[tex]T_2=150K[/tex]
Therefore, the temperature will be, 150 K
