A cylinder with a cross-sectional area of 0.035 m2 is fitted with a piston that is free to move up and down. The piston has a weight of 14.0 N. The uninsulated cylinder is sitting in a water bath with a temperature of 16◦C. Inside the cylinder is a gas, occupying a volume of 3.6×10−4 cubic meters. (a) What is the initial pressure inside the cylinder? (b) The piston is locked in place and the cylinder is moved to a water ba
A cylinder with a cross-sectional area of 0.035 m2 is fitted with a piston that is free to move up and down. The piston has a weight of 14.0 N. The uninsulated cylinder is sitting in a water bath with a temperature of 16◦C. Inside the cylinder is a gas, occupying a volume of 3.6×10−4 cubic meters.
(a) What is the initial pressure inside the cylinder?
(b) The piston is locked in place and the cylinder is moved to a water bath with a temperature of 70 ◦C. What will be the volume of the gas? What will be the pressure in the gas when it reaches thermal equilibrium with the hot water bath? What kind of a change is this? Isothermal, isobaric, isovolumetric, or adiabatic?
(c) A weight of 15.5 N is placed on top of the piston and then the piston is unlocked so that it is free to move again. What will be the pressure in the gas when the piston is in equilibrium? What will be the volume of the gas when the pistion is in equilibrium? What kind of a change is this? Isothermal, isobaric, isovolumetric, or adiabatic?
(d) The 15.5 N is left in place and the piston remains free to move. The cylinder is moved to a water bath with a temperature of 14 ◦C. What will be the pressure in the gas? What will be the volume of the gas when it has reached thermal equilibrium with the cold water bath? What kind of a change is this? Isothermal, isobaric, isovolumetric, or adiabatic?
(e) The cylinder is still in the cold-water bath. The 15.5 N weight is removed, and the piston remains free to move. Without additional calculation, determine the volume and pressure in the gas when the piston comes to equilibrium. Explain how you know this.
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