If the temperature of an ideal gas is doubled at constant volume, what happens to the pressure?
Practice Questions
1 question
Q1
If the temperature of an ideal gas is doubled at constant volume, what happens to the pressure?
It remains the same
It doubles
It triples
It quadruples
According to Gay-Lussac's law, at constant volume, the pressure of an ideal gas is directly proportional to its absolute temperature. Therefore, if the temperature is doubled, the pressure also doubles.
Questions & Step-by-step Solutions
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Q
Q: If the temperature of an ideal gas is doubled at constant volume, what happens to the pressure?
Solution: According to Gay-Lussac's law, at constant volume, the pressure of an ideal gas is directly proportional to its absolute temperature. Therefore, if the temperature is doubled, the pressure also doubles.
Steps: 5
Step 1: Understand that we are dealing with an ideal gas.
Step 2: Know that Gay-Lussac's law states that pressure is directly proportional to temperature at constant volume.
Step 3: Remember that 'doubling the temperature' means we multiply the original temperature by 2.
Step 4: Since pressure is directly proportional to temperature, if the temperature is doubled, the pressure will also double.
Step 5: Conclude that if the temperature of the gas is doubled, the pressure will also increase to twice its original value.
