Calculate the molar mass of a compound if 0.395 moles of it has a mass of 69.09 g.
The correct answer and explanation is :
To calculate the molar mass of a compound, you can use the formula:
[
\text{Molar mass} = \frac{\text{Mass of the sample}}{\text{Number of moles}}
]
Given:
- The mass of the sample = 69.09 grams
- The number of moles = 0.395 moles
We can now substitute these values into the formula:
[
\text{Molar mass} = \frac{69.09 \, \text{g}}{0.395 \, \text{mol}} = 174.3 \, \text{g/mol}
]
Thus, the molar mass of the compound is 174.3 g/mol.
Explanation:
The molar mass (also called molecular weight) of a compound is the mass of one mole of that substance. A mole refers to the amount of substance that contains exactly (6.022 \times 10^{23}) entities (such as atoms or molecules). The molar mass is expressed in grams per mole (g/mol).
To calculate the molar mass, we divide the total mass of the substance by the number of moles. In this problem, we were provided with the mass of the sample (69.09 g) and the number of moles (0.395 mol). By dividing these values, we can determine the molar mass.
The molar mass is crucial in various applications such as stoichiometry in chemical reactions, where it helps in converting between mass and moles. It allows chemists to predict the quantities of substances required or produced in chemical reactions.
To ensure that the calculation is correct, it’s important to verify the units. In this case, the mass is measured in grams, and the number of moles is measured in moles, so the result is in grams per mole (g/mol), which is the correct unit for molar mass.
Thus, based on the given data, the molar mass of the compound is calculated as 174.3 g/mol.