Answer:[tex]2.4453\times 10^9 kJ[/tex] energy was evolved when it burned.
Explanation:
Volume of the hydrogen gas = [tex]2.09\times 10^{8} L[/tex]
Pressure of the gas = P = 1 atm
Temperature of the gas =T = 25.1 °C =298.1 K[/tex]
[tex]PV=nRT[/tex]
[tex]1 atm\times 2.09\times 10^{8} L=n\times 0.0820 atm L/mol K\times 298.1 K[/tex]
[tex]n=\frac{1 atm\times 2.09\times 10^{8} L}{0.0820 atm L/mol K\times 298.1 K}=0.0855\times 10^8 mol[/tex]
[tex]\Delta H_{C}[/tex] for hydrogen gas=-286 kJ/mol
For [tex]0.0855\times 10^8 mol[/tex] energy evolved when hydrogen gas is burned =[tex]0.0855 mol\times (-286 kJ/mol)=-2.4453\times 10^9 kJ[/tex]
[tex]2.4453\times 10^9 kJ[/tex] energy was evolved when it burned.