A sample of argon gas at STP occupies 56.2 liters. Determine the number of moles of argon and the mass of argon in the sample.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Problem:**

A sample of argon gas at STP occupies 56.2 liters. Determine the number of moles of argon and the mass of argon in the sample.

**Solution:**

At standard temperature and pressure (STP), 1 mole of an ideal gas occupies 22.4 liters. Given that the volume of argon gas is 56.2 liters, we can determine the number of moles of argon:

\[ \text{Number of moles} = \frac{\text{Volume of gas}}{\text{Volume of one mole at STP}} = \frac{56.2 \, \text{L}}{22.4 \, \text{L/mole}} \]

After calculating, you will find the number of moles of argon.

The molar mass of argon is approximately 39.95 grams per mole. Using this, you can determine the mass of argon in the sample:

\[ \text{Mass of argon} = \text{Number of moles} \times \text{Molar mass of argon} \]

Calculate this value to find the mass of argon in the sample.
Transcribed Image Text:**Problem:** A sample of argon gas at STP occupies 56.2 liters. Determine the number of moles of argon and the mass of argon in the sample. **Solution:** At standard temperature and pressure (STP), 1 mole of an ideal gas occupies 22.4 liters. Given that the volume of argon gas is 56.2 liters, we can determine the number of moles of argon: \[ \text{Number of moles} = \frac{\text{Volume of gas}}{\text{Volume of one mole at STP}} = \frac{56.2 \, \text{L}}{22.4 \, \text{L/mole}} \] After calculating, you will find the number of moles of argon. The molar mass of argon is approximately 39.95 grams per mole. Using this, you can determine the mass of argon in the sample: \[ \text{Mass of argon} = \text{Number of moles} \times \text{Molar mass of argon} \] Calculate this value to find the mass of argon in the sample.
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