How many moles of oxygen are lost in the following problem?
A cylinder with a moveable piston records a volume of 12.7 L when 3.5 mol of oxygen is added. The gas in the cylinder has a pressure of 5.83 atm. The cylinder develops a leak, and the volume of the gas is now recorded to be 12.1 L at the same pressure.
A cylinder with a moveable piston records a volume of 12.7 L when 3.5 mol of oxygen is added. The gas in the cylinder has a pressure of 5.83 atm. The cylinder develops a leak, and the volume of the gas is now recorded to be 12.1 L at the same pressure.
2 Answers
.16 moles of Oxygen assuming the temperature is at standard temperature.
Explanation:
Use Boyles Law to find the volume of Oxygen lost at standard pressure of 1 atm.
Solving the problem to find the Volume of Oxygen lost
3.50 liters =
22.4 liters = 1 mole at STP for an ideal gas.
Assuming Oxygen is close to an ideal gas
0.156 = moles of Oxygen.
The cylinder has lost 0.2 mol of oxygen.
Explanation:
The pressure and temperature are constant.
Only the volume and the number of moles are changing.
The appropriate relationship is therefore Avogadro's law: the volume of a gas is directly proportional to the number of moles, if all other variables are held constant.
In symbols,
This leads to the relation
#color(blue)(bar(ul(|color(white)(a/a) V_1/n_1 = V_2/n_2color(white)(a/a)|)))" "#
In this problem,