PROBLEM 99P

Use the ideal gas law to show that the molar volume of a gas at STP is 22.4 L.

Solution 99P

Here, we are going to show that molar volume of a gas at STP is 22.4L.

Since, STP is known as standard temperature, pressure.

At STP,

Volume V = ?

Temperature T =0 °C or 273 K

Pressure P= 1 atm

No. of mole n = 1 mol

R = 0.08206 atm L/mol K

From ideal gas equation,

PV = nRT

=

= 1.0 x 0.08206 atm x 273 = 22.4 L

Thus, it is showed that molar volume of a gas at STP is 22.4L