Answer:394.569K
Explanation:
Gay-Lussac's law states that at constant volume,the pressure of a gas is directly proportional to its temperature.
The pressure,temperature at any states with constant volume can be related as [tex]\frac{P_{1}}{T_{1}} =\frac{P_{2}}{T_{2}}[/tex]
where [tex](P_{1},T_{1})[/tex] are pressure and temperature at initial state and [tex](P_{2},T_{2})[/tex] are pressure and temperature at final state.
Given,[tex]P_{1}=5\times 10^{2}[/tex][tex]kPa[/tex]
[tex]T_{1}=313.15K[/tex]
Given,[tex]P_{2}=6.3\times 10^{2}[/tex][tex]kPa[/tex]
[tex]\frac{P_{1}}{T_{1}} =\frac{P_{2}}{T_{2}}[/tex]
[tex]\frac{5\times 10^{2}}{313.15}=\frac{6.3\times 10^{2}}{T_{2}}[/tex]
So,[tex]T_{2}=\frac{6.3\times 10^{2}\times 313.15}{5\times 10^{2}}[/tex]
[tex]T_{2}=394.569K[/tex]
