Question

0.544 mol sample of hydrogen gas at a temperature of 9.00 °C is found to occupy a volume of 20.4 liters. The pressure of this gas sample is mm Hg.

Answer 1

Given

Volume of hydrogen gas = 20.4 L

Moles of hydrogen gas = 0.544 mol

Temperature of Hydrogen gas = 9.00 + 273 =282 K

Pressure of Hydrogen gas = ?

We have relation, P V = n R T

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.

Pressure of Hydrogen gas = n R T / V

Pressure of Hydrogen gas = 0.544 mol 0.082057 L atm mol ^-1 K ^-1 282 K / 20.4 L

Pressure of Hydrogen gas = 0.617 atm

We have relation, 1 atm = 760 mm Hg.

  Pressure of Hydrogen gas = 0.617 atm ( 760 mm Hg / 1 atm ) = 468.92 mm Hg

ANSWER : Pressure of Hydrogen gas = 469 mm Hg