A cylinder initially has a volume of 0.025 m3 that contains 1.5 moles of gas at a temperature of 0°C at a pressure of 1.35 atm. (1) If the pressure is changed to 0.1 atm, but the amount of gas and the temperature are kept constant, what must the new volume be? (2) Starting from the initial cylinder's conditions above, if an additional 1.2 moles of gas are added to the cylinder, in order to keep the volume and pressure constant, what must the new temperature of the gas be? (3) Starting from the initial cylinder's conditions above, if the volume is changed to 0.1 m3 and temperature is increased to 200°C but the amount of gas in the cylinder is unchanged, find the new pressure in the cylinder.

Question

A cylinder initially has a volume of 0.025 m³ that contains 1.5 moles of gas at a temperature of 0°C at a pressure of 1.35 atm.

(1) If the pressure is changed to 0.1 atm, but the amount of gas and the temperature are kept constant, what must the new volume be?

(2) Starting from the initial cylinder's conditions above, if an additional 1.2 moles of gas are added to the cylinder, in order to keep the volume and pressure constant, what must the new temperature of the gas be?

(3) Starting from the initial cylinder's conditions above, if the volume is changed to 0.1 m³ and temperature is increased to 200°C but the amount of gas in the cylinder is unchanged, find the new pressure in the cylinder.