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# Why is 22.4 liters called the molar volume of a gas?

When you solve the Ideal Gas Law using a value of 1 mole, the volume calculates to ## **22.4 L** ## per mole.

The at STP is a constant using Avogadro's value of 22.4 L/mol.

To calculate this we can use the of ##PV=nRT##

At STP (Standard Temperature and Pressure) P = 1 atm V = ? n = 1 mol R = 0.0821 ##(atmL)/(molK)## T = 273 K

##(1 atm)(V) = (1 mol) (0.0821 (atmL)/(molK))(273K)##

##V= (1 cancel(mol)) (0.0821 (cancel(atm)L)/(cancel(mol)cancel(K)))(273cancel(K))/(1 cancel(atm))##

##V= 22.4 L##

This is the volume of one mole of gas at STP.

I hope this was helpful. SMARTERTEACHER