QuestionJuly 1, 2025

1.10 g of an unknown gas at STP fills a 500 mL flask. What is the molar mass of the gas?

1.10 g of an unknown gas at STP fills a 500 mL flask. What is the molar mass of the gas?
1.10 g of an unknown gas at STP fills a 500 mL flask.
What is the molar mass of the gas?

Solution
4.2(256 votes)

Answer

448 g/mol Explanation 1. Calculate the number of moles At STP, 1 mole of gas occupies 22.4 L. Convert 500 mL to liters: 0.5 \text{ L}. Use the formula: \text{moles} = \frac{\text{volume}}{22.4 \text{ L/mol}}. So, \text{moles} = \frac{0.5}{22.4}. 2. Calculate molar mass Molar mass is given by \text{molar mass} = \frac{\text{mass}}{\text{moles}}. Substitute mass = 10 g and calculated moles.

Explanation

1. Calculate the number of moles<br /> At STP, 1 mole of gas occupies 22.4 L. Convert 500 mL to liters: $0.5 \text{ L}$. Use the formula: $\text{moles} = \frac{\text{volume}}{22.4 \text{ L/mol}}$. So, $\text{moles} = \frac{0.5}{22.4}$.<br />2. Calculate molar mass<br /> Molar mass is given by $\text{molar mass} = \frac{\text{mass}}{\text{moles}}$. Substitute mass = 10 g and calculated moles.
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