Multiple Choice
What is the volume of 0.200 mol of an ideal gas at 200. kPa and 400. K? Use the ideal gas law and R = 8.314 L·kPa·mol^{-1}·K^{-1}.
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7. Gases
The Ideal Gas Law Applications
Multiple Choice
In an ideal gas law experiment, a student collects 0.50 mol of a gas in a 10.0 L container at 300 K. What is the pressure of the gas in atmospheres? (Use R = 0.0821 L·atm·mol^{-1}·K^{-1})
A
0.82 atm
B
0.50 atm
C
2.05 atm
D
1.23 atm
Verified step by step guidance1
Identify the known variables from the problem: number of moles \(n = 0.50\) mol, volume \(V = 10.0\) L, temperature \(T = 300\) K, and the gas constant \(R = 0.0821\) L\(\cdot\) atm\(\cdot\) mol^{-1}\(\cdot\) K^{-1}$.
Recall the Ideal Gas Law equation: \(P V = n R T\), where \(P\) is the pressure in atmospheres.
Rearrange the Ideal Gas Law to solve for pressure \(P\): \(P = \frac{n R T}{V}\).
Substitute the known values into the equation: \(P = \frac{0.50 \times 0.0821 \times 300}{10.0}\).
Calculate the value from the substitution to find the pressure \(P\) in atmospheres.
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