Thermodynamics and ThermochemistrymediumMCQ SINGLE

The heat capacity of bomb calorimeter is . A rise in temperature has been observed on the combustionThermodynamics and Thermochemistry Chemistry Question

Question

The heat capacity of bomb calorimeter is $500\text{ J/}^\circ\text{C}$. A $2^\circ\text{C}$ rise in temperature has been observed on the combustion of 0.1 g of methane. What is the value of $\Delta E$ per mole of methane?

Answer: C

💡 Solution & Explanation

Heat released $q = C\Delta T = 500 \times 2 = 1000\text{ J} = 1\text{ kJ}$ for $0.1\text{ g}$. Molar mass of methane ($\text{CH}_4$) = $16\text{ g/mol}$. Molar heat $\Delta E = -1\text{ kJ} \times (16 / 0.1) = -160\text{ kJ/mol}$. (Negative sign denotes combustion is exothermic).

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