# How many times will the pressure in the cylinder change if its volume decreases when the piston is displaced

August 17, 2021 | education

| **How many times will the pressure in the cylinder change if its volume decreases when the piston is displaced downward by 1/3 of the cylinder height? Temperature does not change**

h1 = h / 3.

T1 = T.

P1 / P -?

For a constant gas mass, the combined gas law is valid: P * V / T = P1 * V1 / T1.

the volume of gas in the cylinder V is determined by the formula: V = S * h, where S is the cross-sectional area of the cylinder, h is the height of the cylinder.

V1 = S * h1 = S * h * 3 = V / 3.

P1 / P = V * T1 / V1 * T = V / V1 = 3.

Answer: the gas pressure will increase 3 times P1 / P = 3.

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