If the pressure of a sample of gas is doubled at constant temperature, what happens to the volume of the gas?
Responses
A The volume doubles.The volume doubles.
B The volume is halved.The volume is halved.
C The volume quadruples.The volume quadruples.
D The volume remains the same.
B The volume is halved.
To determine what happens to the volume of the gas when the pressure is doubled at constant temperature, we can refer to Boyle's Law, which states that at constant temperature, the pressure and volume of a gas are inversely proportional.
According to Boyle's Law, when the pressure of a gas is doubled at constant temperature, the volume of the gas will be halved. This means that option B - "The volume is halved" is the correct answer.
Boyle's Law can be mathematically expressed as:
P1 * V1 = P2 * V2
Where P1 and P2 are the initial and final pressures respectively, and V1 and V2 are the initial and final volumes respectively.
So, when the pressure is doubled (P2 = 2 * P1), we can substitute this into the equation to find the final volume (V2):
P1 * V1 = (2 * P1) * V2
Simplifying the equation:
V2 = V1 / 2
This shows that the final volume (V2) will be half of the initial volume (V1).