There is gas in the cylinder under the piston at a pressure of 1.5 * 10 ^ 5 Pa and a temperature of 27 ° C.

There is gas in the cylinder under the piston at a pressure of 1.5 * 10 ^ 5 Pa and a temperature of 27 ° C. What mass must be put on the piston after it has been heated to 77 ° C so that the gas volume does not change? The cross-sectional area of the piston is 20 cm2.

T1 = 300 ° K.

T2 = 350 ° K.

S = 20 cm2 = 0.002 m2.

V1 = V2.

g = 9.8 m / s2.

m -?

m * g = P2 * S.

m = P2 * S / g.

Since the volume of gas does not change V1 = V2, then P1 / T1 = P2 / T2.

P2 = P1 * T2 // T1.

m = P1 * T2 * S / g * T1.

m = 1.5 * 10 ^ 5 Pa * 350 ° K * 0.002 m2 / 9.8 m / s2 * 300 ° K = 35.7 kg.

Answer: you can put a weight of m = 35.7 kg on the piston.