A liquid is enclosed in a metal cylinder that is provided with a piston of the same metal. The system is originally at a pressure of 1.00 atm (1.013 X 105 Pal and at a temperature of 30.0°C. The piston is forced down until the pressure on the liquid is increased by 50.0 atm, and then clamped in this position. Find the new temperature at which the pressure of the liquid is again1.00 atm. Assume that the cylinder is sufficiently strong so that its volume is not altered by changes in pressure, but only by changes in temperature. Use the result derived in Problem 17.92. (Hint: See Section 11.4.)
Compressibility of liquid: k = 8.50 X 10-10 Pa-1
Coefficient of volume expansion of liquid: β= 4.80 X 10-4 K-1
Coefficient of volume expansion of metal: β = 3.90 X 10-5 K-1