How will the pressure of an ideal gas change with a 2-fold increase in volume?
| February 23, 2021 | education
How will the pressure of an ideal gas change with a 2-fold increase in volume? gas expansion proceeds according to the law p / v ^ 2 = const.
P / V ^ 2 = const.
V2 = 2 * V1.
P2 -?
For a constant gas mass, the expansion proceeds according to the law: P / V ^ 2 = const.
This means that the ratio P / V ^ 2 remains constant: P1 / V1 ^ 2 = P2 / V2 ^ 2.
We express the pressure P2 = P1 * V2 ^ 2 / V1 ^ 2 = P1 * (2 * V1) ^ 2 / V1 ^ 2 = 4 * P1 * V1 ^ 2 / V1 ^ 2 = 4 * P1.
Answer: the pressure will increase 4 times: P2 = 4 * P1.
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