Ideal gas equation tutorial questions

Q1)

5 moles of gas are heated in a container 10 litre in volume to a temperature of 600 ° F. What is the pressure of the gas?

Q2)

A balloon is filled with helium at 60F to a pressure of 1.1 Psi(g).The balloon will burst at 1.3 Psi(g) Assume the volume of the balloon does not change how much can the balloon be heated until it bursts?

Q3)

A car has a four cylinder 2 litre internal combustion engine running on iso-octane. Cylinder one is charged with a stoichiometric mixture of oxygen and iso-octane with the piston fully extended. The cylinder chamber is 10 cm long in this position.

• reaction

2C₈H₁₈ +25O₂è 18H₂O + 16CO₂

1) How many moles of gas are charged to the empty cylinder to raise the pressure to 1 bar (abs) at a temperature of 25 °C?

2) The piston is moved to its closed position 1cm form the cylinder head isothermally compressing the gas what is the increase in pressure?

3) The gas is ignited and burnt to completion. Assuming no initial temperature rise what is the increase in moles in the system and the associated change in pressure?

4) The heat of reaction raises the temperature in the cylinder to 600°C. What is the change in pressure of the system?

5) The piston now extends to its full extension. What is the change in pressure?

6) The cooling water drops the temperature of the cylinder to 100°C. What is the new pressure in the cylinder?

7) The cylinder now closes back up to eject the exhaust gases from the cylinder what is the number of moles left in the cylinder assuming the pressure drops to 1 bar (abs)?

please help me to sove them!heeeeeeeeeeeellllllppppppppp!!!

 

!

Moderator Note

haley5p,

 

Please note that this is obviously homework. You will not get any answers, unless you show what you have so far done to solve these problems. Posting only the questions is not sufficient. You are obviously doing some engineering course, not a management course, so asking other people to do your work is not going to teach you the necessary skills to pass the class.

 

Everybody,

Please do not answer any questions until our OP has shown any efforts into solving these problems.