H2(g) + 1/2 O2(g) --------> H2O(l) ΔH = -286kJ/mole
The above equation shows 286 kJ heat is liberated when 1 mole of H2(g) is burned.
Given data
The volume of H2(g), V = 2.2*108 L
Pressure of H2(g) , P = 1 atm
Temperature, T = 25 deg C
= 298 K
According to the ideal gas equation
PV = nRT
∴ Number of moles of H2(g) , n = PV/RT
= (1 atm)( 2.2*108 L ) /(0.0821 L atm/mol.K)(298K)
= 8.992*106 mol
ΔHrxn when 2.2*108 L of H2(g) is burned = {-286kJ/mole H2(g)}* 8.992*106 mol H2(g)
= -2.571*109 kJ