A piston cylinder is charged with

20kgs

of a mixture of ideal gases with an equivalent molecular mass of

(M

)

=

(

24)

. Initially the gas in the tank is at a temperature of

400K

and a pressure of 1.5 bars. Use a sketch to help you with the solution:\ What is the initial volume occupied by the gas mixture.\ The gas is now cooled to

300K

and the piston is allowed to move freely until it stops on its own. Let's call this State 2. What is the volume of the gas at this state.\ Pins are now added to stop the cylinder from moving and the gas is heated to

1500K

. Let's call this state 3 . What is pressure and volume at this stage.\

Extra Credit: 10 points\ Assuming that the piston is well insulated, and the temperature remains at

1500K

, explain how much gas in

kg

would have escaped if the pressure drops overnight by

50kPa

.

A piston cylinder is charged with 20kgs of a mixture of ideal gases with an equivalent molecular mass of (M=24). Initially the gas in the tank is at a temperature of 400K and a pressure of 1.5 bars. Use a sketch to help you with the solution: 1) What is the initial volume occupied by the gas mixture. 2) The gas is now cooled to 300K and the piston is allowed to move freely until it stops on its own. Let's call this State 2 . What is the volume of the gas at this state. 3) Pins are now added to stop the cylinder from moving and the gas is heated to 1500K. Let's call this state 3 . What is pressure and volume at this stage. Extra Credit: 10 points 4) Assuming that the piston is well insulated, and the temperature remains at 1500K, explain how much gas in kg would have escaped if the pressure drops overnight by 50kPa