What happens to the pressure of an ideal gas if its volume is halved while keeping the temperature constant?
Practice Questions
1 question
Q1
What happens to the pressure of an ideal gas if its volume is halved while keeping the temperature constant?
Pressure remains the same
Pressure doubles
Pressure halves
Pressure quadruples
According to Boyle's law, for a given amount of gas at constant temperature, pressure is inversely proportional to volume. Halving the volume doubles the pressure.
Questions & Step-by-step Solutions
1 item
Q
Q: What happens to the pressure of an ideal gas if its volume is halved while keeping the temperature constant?
Solution: According to Boyle's law, for a given amount of gas at constant temperature, pressure is inversely proportional to volume. Halving the volume doubles the pressure.
Steps: 6
Step 1: Understand that we have an ideal gas, which follows certain laws.
Step 2: Know that Boyle's law states that pressure and volume are inversely related when temperature is constant.
Step 3: Remember that 'inversely related' means if one goes up, the other goes down.
Step 4: If we halve the volume of the gas, we are making the space it occupies smaller.
Step 5: Since the volume is halved, the pressure must increase to maintain the relationship defined by Boyle's law.
Step 6: Therefore, if the volume is halved, the pressure will double.
