Question

A cylinder filled with ideal gas is sealed by a piston that is above the gas. The piston is a cylindrical object, with a weight of 45.0 N, that can slide up or down in the cylinder without friction. The area of the top (or the bottom) of the piston is 100 cm $^2$ . The top of the piston is exposed to the atmosphere, and the atmospheric pressure is 100 kPa. As shown in the figure, the piston is tied to a string that passes over a pulley system and is tied to a block that has a weight of 90.0 N. Both the block and the piston are in equilibrium. The cylinder has a height of 50.0 cm, and, when the temperature of the gas is 20°C, the bottom of the piston is 25.0 cm above the bottom of the cylinder.
Calculate the pressure of the gas in the cylinder.
_______ kPa

Part (b)

A cylinder filled with ideal gas is sealed by a piston that is above the gas. The piston is a cylindrical object, with a weight of 45.0 N, that can slide up or down in the cylinder without friction. The area of the top (or the bottom) of the piston is 100 cm $^2$ . The top of the piston is exposed to the atmosphere, and the atmospheric pressure is 100 kPa. As shown in the figure, the piston is tied to a string that passes over a pulley system and is tied to a block that has a weight of 90.0 N. Both the block and the piston are in equilibrium. The cylinder has a height of 50.0 cm, and, when the temperature of the gas is 20°C, the bottom of the piston is 25.0 cm above the bottom of the cylinder.
Calculate the number of moles of gas in the cylinder.
_______ moles

Answer 1

Caps Lock ↑ Shift Let Net pressure of Gos =PG not to upward pressure Pue=PG+90 Toox14 Net + 1ooxlos dounward pressure.. P = 45 Down looxy at equilibrium PG + Boxlo ² = 45x10²+ 1000x10² "G= 95.5 kPa Volume of gas v= 0.25 xlooxlor She = 25x160 m3 PV=nRT Temperature T = 20°c = 293.15k 95.5x188 x 25x10r = nx8.314 x 293.15 n=0.098 males?