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Multiple Choice
Which gas sample has the greatest volume at STP?
A
10.0 g He
B
10.0 g Ne
C
10.0 g N
D
All have the same volume
Verified step by step guidance
1
First, understand that STP (Standard Temperature and Pressure) conditions are defined as 0°C (273.15 K) and 1 atm pressure. At STP, 1 mole of any ideal gas occupies 22.4 liters.
Next, calculate the number of moles for each gas sample using the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \).
Determine the molar mass of each gas: Helium (He) is approximately 4.00 g/mol, Neon (Ne) is approximately 20.18 g/mol, and Nitrogen (N) is approximately 14.01 g/mol.
Calculate the moles for each gas: For Helium, \( \text{moles of He} = \frac{10.0 \text{ g}}{4.00 \text{ g/mol}} \). For Neon, \( \text{moles of Ne} = \frac{10.0 \text{ g}}{20.18 \text{ g/mol}} \). For Nitrogen, \( \text{moles of N} = \frac{10.0 \text{ g}}{14.01 \text{ g/mol}} \).
Finally, compare the number of moles calculated for each gas. The gas with the highest number of moles will have the greatest volume at STP, since volume is directly proportional to the number of moles under these conditions.