Molar volume is the volume occupied by 1 mol of any (ideal) gas at sta

1.	Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP : 1 atmospheric pressure, 0°C). Show that it is 22.4 litres
Answer» For one mole of an ideal gas, we have pV = RT Hence, V = RT/p But R = 8.31 J mol^-1 K^-1 T = 273 K and p = 1 atmosphere = 1.013 x 10⁵ Nm^-2 Thus, V = {8.31 x 273}/{1.013 x 10⁵} = 0.024 m³ = 0.0224 x 10⁶ cm³ = 22400 ml (1 cm³ = 1 ml)

Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP : 1 atmospheric pressure, 0°C). Show that it is 22.4 litres

Answer»

For one mole of an ideal gas, we have

pV = RT

Hence, V = RT/p

But R = 8.31 J mol^-1 K^-1

T = 273 K

and p = 1 atmosphere = 1.013 x 10⁵ Nm^-2

Thus, V = {8.31 x 273}/{1.013 x 10⁵}

= 0.024 m³

= 0.0224 x 10⁶ cm³

= 22400 ml (1 cm³ = 1 ml)

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Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP : 1 atmospheric pressure, 0°C). Show that it is 22.4 litres

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