Answer :
Answer: The initial temperature was 588 Kelvin
Explanation:
The combined gas equation is,
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 1.49 atm
[tex]P_2[/tex] = final pressure of gas = 657 torr = 0.864 atm (760 torr = 1atm)
[tex]V_1[/tex] = initial volume of gas = 6400 ml
[tex]V_2[/tex] = final volume of gas = 9660 ml
[tex]T_1[/tex] = initial temperature of gas = ?
[tex]T_2[/tex] = final temperature of gas = [tex]245^0C=(245+273)K=515K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{1.49\times 6400}{T_1}=\frac{0.864\times 9660}{515}[/tex]
[tex]T_1=588K[/tex]
The initial temperature was 588 Kelvin