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What is the enthalpy of a mixture having 40% of A with enthalpy 50 J, and 60% of B with enthalpy 25 J?

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What is the enthalpy of a mixture having 40% of A with enthalpy 50 J, and 60% of B with enthalpy 25 J?

(a) 30 J

(b) 35 J

(c) 40 J

(d) 45 J

This question was addressed to me during an internship interview.

This intriguing question comes from Heat of Solution, Dissolution and Mixing topic in portion Energy Balances that Include the Effects of Chemical Reaction, Ideal Processes, Efficiency and the Mechanical Energy Balance and Heats of Solution and Mixing of Basic Chemical Engineering

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The correct answer is (b) 35 J

The explanation: Heat capacity of mixture = 0.4*50 + 0.6*25 = 35 J.

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