객관식
A 9.00 L tank contains 75.1 grams of fluorine gas (F_2) at a temperature of 355 K. What is the pressure inside the tank? (R = 0.0821 L·atm·mol^{-1}·K^{-1})
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7. Gases
The Ideal Gas Law
객관식
Using the ideal gas law, what is the volume (in liters) occupied by 0.200 mol of an ideal gas at a pressure of 200. kPa and a temperature of 400. K? (Use R = 8.314 L·kPa·mol^{-1}·K^{-1})
A
1.66 L
B
3.32 L
C
0.83 L
D
2.49 L
검증된 단계별 안내1
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 want 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.
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