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

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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