$1.$ Consider as a system, the gas in the cylinder shown in the figure. The cylinder is fitted with a piston on which number of small weights is placed. The initial pressure is $200,$ and the initial volume of the gas is $0\mathrm{.}04!.$ a$.$ Let the gas in the cylinder be heated, and let the volume of the gas increase to $0\mathrm{.}1!$ while the pressure remains constant. Calculate the work done by the system during this process. b$.$ Consider the system and initial state as before, but let the piston be held by a pin so that the volume remains constant. In addition, let heat transfer take place from the cylinder so that the pressure drops to $100.$ Calculate the work.

Energy, Work, Heat Homework $2$

Consider as a system, the gas in the cylinder shown in the figure. The cylinder is fitted with a piston on which number of small weights is placed. The initial pressure is $200$kPa, and the initial volume of the gas is $0\mathrm{.}04m^3.$

a$.$ Let the gas in the cylinder be heated, and let the volume of the gas increase to $0\mathrm{.}1m^3$ while the pressure remains constant. Calculate the work done by the system during this process.

b$.$ Consider the system and initial state as before, but let the piston be held by a pin so that the volume remains constant. In addition, let heat transfer take place from the cylinder so that the pressure drops to $100$kPa. Calculate the work.