Answer: 193.3 K
Explanation:
Charles' Law: This law states that volume 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)
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas = 0.67 L
[tex]V_2[/tex] = final volume of gas =[tex]0.67-\frac{45}{100}\times 0.67=0.37L[/tex]
[tex]T_1[/tex] = initial temperature= 350 K
[tex]T_2[/tex] = final temperature = ?
Now put all the given values in the above equation, we get the final pressure of gas.
[tex]\frac{0.67}{350}=\frac{0.37}{T_2}[/tex]
[tex]T_2=193.3K[/tex]
Therefore, the temperature required would be 193.3 K
