Answer:
The temperature of the Hydrogen gas at pressure [tex]305\ kPa[/tex] is [tex]901.4\ K[/tex].
Explanation:
Given the volume of the Hydrogen gas remain constant.
And the initial temperature and pressure are [tex]T_1=300\ K\ and\ P_1=101.5\ kPa[/tex]
We need to find the temperature [tex](T_2)[/tex] of the gas at [tex]P_2=305\ kPa[/tex]
We will use the gas equation to find out that temperature. As the volume is constant we can write with pressure and temperature.
[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}\\ \\T_2=\frac{P_2}{P_1}\times T_1\\\\T_2=\frac{305}{101.5}\times 300\\ \\T_2=3.004\times 300\\T_2=901.4\ K[/tex]
The temperature of the Hydrogen gas at pressure [tex]305\ kPa[/tex] is [tex]901.4\ K[/tex].