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When 0.0192 kg of a compound with a heat of combustion of [tex]-37.6 \, \text{kJ/mol}[/tex] is burned in a calorimeter, 14.3 kJ of heat are released. What is the molar mass of the compound?

Answer :

Final answer:

The molar mass of the compound is 19.2 g/mol.

Explanation:

To calculate the molar mass of the compound, we can use the equation:

Molar mass = (mass of compound / heat of combustion) * heat of combustion per mole

First, we need to convert the mass of the compound from kilograms to grams. There are 1000 grams in 1 kilogram, so the mass of the compound is 0.0192 kg * 1000 g/kg = 19.2 g.

Next, we can substitute the given values into the equation:

Molar mass = (19.2 g / -37.6 kJ/mol) * -37.6 kJ/mol

The units of grams and kilojoules cancel out, leaving us with the molar mass in grams per mole.

Simplifying the equation, we find:

Molar mass = 19.2 g

Therefore, the molar mass of the compound is 19.2 g/mol.

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