Find the volume of 0.5 mole of NO at STP.
Understand the Problem
The question is asking for the volume of a gas, specifically nitrogen monoxide (NO), at standard temperature and pressure (STP). To solve this, we can apply the ideal gas law and the fact that one mole of gas occupies 22.4 liters at STP. Therefore, we need to calculate the volume for 0.5 moles based on this amount.
Answer
The volume of nitrogen monoxide (NO) is $11.2 \, \text{L}$.
Answer for screen readers
The volume of 0.5 moles of nitrogen monoxide (NO) at standard temperature and pressure (STP) is 11.2 liters.
Steps to Solve
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Identify the formula for volume at STP To find the volume of a gas at standard temperature and pressure (STP), we will use the relationship that one mole of gas occupies 22.4 liters at STP.
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Determine the number of moles We know that the amount of nitrogen monoxide (NO) we have is 0.5 moles.
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Calculate the volume using the ideal volume per mole We multiply the number of moles by the volume occupied by one mole at STP: $$ V = n \times 22.4 , \text{L} $$ Substituting the values we have: $$ V = 0.5 , \text{mol} \times 22.4 , \text{L/mol} $$
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Perform the multiplication Calculate the volume: $$ V = 11.2 , \text{L} $$
The volume of 0.5 moles of nitrogen monoxide (NO) at standard temperature and pressure (STP) is 11.2 liters.
More Information
At standard temperature and pressure, one mole of any ideal gas occupies 22.4 liters. This principle is fundamental in chemistry and helps in various calculations involving gases.
Tips
- Forgetting to multiply the number of moles by the volume per mole, which leads to incorrect volume calculations.
- Not using the correct units; it's important to always express the final answer in liters when dealing with gas volumes.
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