Multiple Choice
Under which of the following conditions does a sample of gas behave most ideally according to the ideal gas law?
79
views
7. Gases
The Ideal Gas Law Applications
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}.
A
2.49 L
B
0.83 L
C
1.66 L
D
3.32 L
Verified step by step guidance1
Identify the known variables from the problem: number of moles \(n = 0.200\) mol, pressure \(P = 200.\) kPa, temperature \(T = 400.\) K, and the ideal gas constant \(R = 8.314\) L\(\cdot\) kPa \(\cdot\) mol^{-1} \(\cdot\) K^{-1}$.
Recall the ideal gas law formula: \(P \times V = n \times R \times T\), where \(V\) is the volume we need to find.
Rearrange the ideal gas law to solve for volume \(V\): \(V = \frac{n \times R \times T}{P}\).
Substitute the known values into the equation: \(V = \frac{0.200 \times 8.314 \times 400}{200}\).
Perform the arithmetic operations step-by-step to find the volume \(V\) in liters.
Related Videos
Related Practice
