Question

A sample of hydrogen gas collected at a pressure of 0.544 atm and a temperature of 9.00 °C is found to occupy a volume of 20.4 liters. How many moles of H2 gas are in the sample? mol

Answer 1

We have relation, P V = n R T ----------------------> ( 1 )

where, P is a pressure of a gas, V is a volume of a gas, n is no. of moles of gas, R is a gas constant and T is temperature of gas.

On rearranging equation 1 , we get n = P V / R T

We have , Pressure of Hydrogen gas = 0.544 atm , Volume of hydrogen gas = 20.4 L , Temperature of Hydrogen gas = 9.00 + 273 =282 K . Putting these values in above equation , we get

No. of moles of Hydrogen gas = 0.544 atm 20.4 L / 0.082057 L atm mol ^-1 K ^-1 282 K

No. of moles of Hydrogen gas = 11.10 / 23.14 mol ^-1

No. of moles of Hydrogen gas = 0.4796 mol

ANSWER : moles of Hydrogen gas in the sample : 0.480 mol