Answer to Question #184990 in Inorganic Chemistry for jake

Question

(a) The Ideal Gas Law equation is derived from the three gas laws. Explain the

THREE gas laws by providing mathematical equations showing the

relationship between the relevant quantities.

(b) A closed gas cylinder contains 0.500 mol H2, 0.300 mol O2, 1.200 mol CO2 at a

temperature of 25 °C and a pressure of 2.00 atm.

i. Explain Dalton’s Law of partial pressure.

ii. Calculate the volume of the cylinder.

iii. Calculate the partial pressure of O2 in the container

Answer 1

a. The three gas laws are Boyle's law, Charles law and Avogadro's law.

Boyle's law states that the volume of a given mass of a gas is inversely proportional to its pressure at constant Temperature.

PV=K

Charles law states that the volume of a given mass of a gas is directly proportional to it's temperature at constant pressure.

V/T=K

Avogadro's law states that equal volumes of all gases at the same temperature and pressure contains the same number of moles.

n/V=K

Combining the three Equations give the ideal gas equation PV=nRT

b. I) Dalton's law of partial pressure states that the total pressure in a container containing a mixture of gases is equal to the sum of the partial pressures exerted by each gas.

II) Total mole= 0.500+0.300+1.200=2.000 mole

From ideal gas equation

PV=nRT

V=nRT/P

V= 2.000x0.0821x298/2.0

V=24.47L

III) P_o= mole fraction of oxygen x total pressure

P_o= 0.300/2.000 x 2.0 = 0.30atm