## Ideal gases problems

(Ideal gas constant (R) = 8.3 mol

1. Sketch the variation of:

(a) pressure with volume

(b) volume with temperature

(c) pressure with temperature

for an ideal gas.

2. Define:

(a) The absolute zero of temperature

(b) the Kelvin

(c) The triple point of water

3. Calculate the number of moles of a gas of pressure 10

4. An ideal gas at a temperature of 20

5. An ideal gas has a molar mass of 40 g and a density of 1.2 kgm

6. An ideal gas is contained in a metal cylinder with a volume of 0.25 m

^{-1}K^{-1})1. Sketch the variation of:

(a) pressure with volume

(b) volume with temperature

(c) pressure with temperature

for an ideal gas.

2. Define:

(a) The absolute zero of temperature

(b) the Kelvin

(c) The triple point of water

3. Calculate the number of moles of a gas of pressure 10

^{5}Pa at a temperature of 27^{o}C occupying a volume of 5 m^{3}.4. An ideal gas at a temperature of 20

^{o}C occupies a volume of 2.5 m^{3}at a pressure of 2.5x10^{5}Pa. It is then expanded isothermally to 6 m^{3}. What is its new pressure?5. An ideal gas has a molar mass of 40 g and a density of 1.2 kgm

^{-3}at 80^{o}C. What is its pressure at that temperature?6. An ideal gas is contained in a metal cylinder with a volume of 0.25 m

^{3}at a pressure of 15x10^{5}Pa and a temperature of 20^{o}C. If the gas is allowed to expand into the atmosphere at a pressure of 10^{5}Pa and a temperature of 15^{o}C what is its new volume?