In a closed system, if the temperature of an ideal gas is doubled while the volume remains 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 the volume remains 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 the volume remains 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: 5
Step 1: Understand that we have a closed system with an ideal gas.
Step 2: Know that the volume of the gas is constant, meaning it does not change.
Step 3: Remember Gay-Lussac's law, which states that pressure is directly proportional to temperature when volume is constant.
Step 4: If the temperature of the gas is doubled, this means it increases to twice its original value.
Step 5: Since pressure is directly proportional to temperature, if the temperature doubles, the pressure must also double.