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When 0.0157 g of a compound with a heat of combustion of [tex]-37.6 \, \text{kJ/mol}[/tex] is burned in a calorimeter, 185 J of heat is released. What is the molar mass of the compound?

Answer :

Final answer:

To calculate the molar mass of the compound, first, we need to find the mass of the compound burned. However, the given data and calculations result in a mass of 0 g, which doesn't make sense. Please double-check the given information and try again.

Explanation:

The molar mass of the compound can be calculated by using the given data. The heat of combustion for the compound is -37.6 kJ/mol. The amount of heat released in the calorimeter is 185 J. By using the equation q = mCΔT, where q is the heat, m is the mass, C is the specific heat capacity, and ΔT is the change in temperature, we can calculate the mass of the compound. From the mass and the heat of combustion, we can determine the molar mass of the compound.



First, let's calculate the mass of the compound burned:



q = mCΔT
185 J = m × 4.18 J/g°C × (final temperature - initial temperature)
The specific heat capacity for water is 4.18 J/g°C.
Let's assume that the initial temperature is the same as the final temperature, so ΔT = 0.
185 J = m × 4.18 J/g°C × 0
m = 0 g



Since the mass is 0 g, it means that the molar mass of the compound is 0 g/mol. However, this result doesn't make sense. There might be an error in the given data or in the calculation. Please double-check the given information and try again.

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