객관식
When water in a syringe boils at 43°C, which factor is primarily responsible for this phenomenon according to the Ideal Gas Law?
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7. Gases
The Ideal Gas Law
Multiple Choice
Using the ideal gas law, what is the pressure (in atm) of 1.9 mol of nitrogen gas in a 9.45 L tank at a temperature of 228 K? (Use R = 0.0821 L·atm·mol^{-1}·K^{-1})
A
0.40 atm
B
0.40 atm
C
0.38 atm
D
0.48 atm
검증된 단계별 안내1
Identify the known variables from the problem: number of moles \(n = 1.9\) mol, volume \(V = 9.45\) L, temperature \(T = 228\) K, and the ideal gas constant \(R = 0.0821\) L\(\cdot\) atm\(\cdot\) mol^{-1}\(\cdot\) K^{-1}$.
Recall the ideal gas law formula: \(P \times V = n \times R \times T\), where \(P\) is the pressure in atm.
Rearrange the ideal gas law to solve for pressure \(P\): \(P = \frac{n \times R \times T}{V}\).
Substitute the known values into the equation: \(P = \frac{1.9 \times 0.0821 \times 228}{9.45}\).
Perform the multiplication and division to calculate the pressure \(P\) in atm.
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