In a closed system, if the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
Practice Questions
1 question
Q1
In a closed system, if the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
It doubles
It halves
It remains the same
It quadruples
According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.
Questions & Step-by-step Solutions
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Q
Q: In a closed system, if the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
Solution: According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.
Steps: 6
Step 1: Understand that we are dealing with an ideal gas in a closed system.
Step 2: Know that the volume of the gas is kept constant.
Step 3: Recall Gay-Lussac's law, which states that pressure is directly proportional to temperature when volume is constant.
Step 4: If the initial temperature is T, and it is doubled, the new temperature becomes 2T.
Step 5: Since pressure is directly proportional to temperature, if the temperature doubles from T to 2T, the pressure also doubles.
Step 6: Conclude that the pressure of the gas will also double.
