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Multiple Choice
Which of the following actions will increase the pressure of a gas in a sealed container, according to the ideal gas law?
A
Increase the volume while keeping temperature and amount of gas constant.
B
Decrease the temperature while keeping volume and amount of gas constant.
C
Increase the temperature while keeping volume and amount of gas constant.
D
Decrease the amount of gas while keeping temperature and volume constant.
Verified step by step guidance
1
Recall the ideal gas law: \(P \times V = n \times R \times T\), where \(P\) is pressure, \(V\) is volume, \(n\) is the amount of gas (in moles), \(R\) is the ideal gas constant, and \(T\) is temperature in Kelvin.
Analyze how pressure changes when volume \(V\) is increased while keeping temperature \(T\) and amount of gas \(n\) constant. Since \(P = \frac{nRT}{V}\), increasing \(V\) will decrease \(P\).
Consider decreasing temperature \(T\) while keeping volume \(V\) and amount of gas \(n\) constant. Since \(P = \frac{nRT}{V}\), decreasing \(T\) will decrease \(P\).
Examine increasing temperature \(T\) while keeping volume \(V\) and amount of gas \(n\) constant. Since \(P = \frac{nRT}{V}\), increasing \(T\) will increase \(P\).
Look at decreasing the amount of gas \(n\) while keeping temperature \(T\) and volume \(V\) constant. Since \(P = \frac{nRT}{V}\), decreasing \(n\) will decrease \(P\).