Final answer:
To determine the internal energy change of hydrogen, you can use balanced chemical equations and standard enthalpy values. By applying the first law of thermodynamics and calculating the change in enthalpy, you can determine the standard internal energy change and enthalpy change per mole of hydrogen.
Step-by-step explanation:
The internal energy change of hydrogen can be determined through various calculations and using data on standard enthalpy values. Firstly, a balanced chemical equation for the combustion of hydrogen into liquid water can be written and balanced. Then, using the equation and the given information, the standard change in internal energy and the standard enthalpy change per mole of hydrogen can be calculated.
For part (a), the balanced equation for the combustion of hydrogen is:
2H2(g) + O2(g) → 2H2O(l)
For part (b), the standard change in internal energy can be calculated using the equation:
ΔU = ΔH - PΔV
For part (c), the standard enthalpy change per mole of hydrogen can be calculated by dividing the standard change in internal energy by the number of moles of hydrogen.
For part (d), the standard enthalpy of formation per mole of hydrogen can be calculated using the data for standard enthalpies of formation.