Answer : The final temperature of gas will be, 226 K
Explanation :
Charles' Law : It is defined as the volume of gas is directly proportional to the temperature of the gas at constant pressure and number of moles.
[tex]V\propto T[/tex]
or,
[tex]\frac{V_1}{V_2}=\frac{T_1}{T_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas = 100 ml
[tex]V_2[/tex] = final volume of gas = 50 ml
[tex]T_1[/tex] = initial temperature of gas = 452 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 the gas.
[tex]\frac{100ml}{50ml}=\frac{452K}{T_2}[/tex]
[tex]T_2=226K[/tex]
Therefore, the final temperature of gas will be, 226 K
