Final answer:
The heat produced by the reaction of 0.0250 mol of hydrogen with oxygen to form liquid water is calculated to be 7.15 kJ, which does not match with any of the provided answer choices option(a).
Step-by-step explanation:
The student is asking for the heat produced when 0.0250 mol of hydrogen reacts with oxygen, forming liquid water. The chemical reaction here is H₂(g) + 1/2 O₂(g) → H₂O(l). According to the given information, 1 mole of hydrogen reacting with oxygen releases 286 kJ of heat when forming liquid water.
Therefore, to find the heat produced by 0.0250 mol of hydrogen, we multiply the enthalpy change for 1 mole by the number of moles reacting:
Heat produced = 286 kJ/mol × 0.0250 mol = 7.15 kJ
However, none of the answer options provided in the question (A. Depends on conditions B. 68.32 kJ C. 136.64 kJ D. 34.16 kJ) matches our calculation. It is possible that there's a typo in the question or the answer options, or that additional information regarding the specifics of the reaction conditions is required.
The student should be advised to check the given options and information again.