Question

What is the molar volume of an ideal gas at one atmospheric pressure and ${\text{273}}{{\text{ }}^{\text{o}}}{\text{C}}$ temperature?
A ${\text{44}}{\text{.8 litre}}$
B ${\text{22}}{\text{.4 litre}}$
C ${\text{11}}{\text{.2 litre}}$
D ${\text{5}}{\text{.6 litre}}$

Answer 1

Hint: Volume and temperature are directly proportional to each other at constant pressure. With the increase in temperature, volume also increases and if volume increases there will be an increase in temperature.

Complete step by step answer:
The volume occupied by the gas at ${\text{273 K}}$ and ${\text{1 atm}}$ is ${\text{22}}{\text{.4 litre}}$
i.e., the molar volume of an ideal gas at standard temperature pressure (STP) is ${\text{22}}{\text{.4 litre}}$
We have,
At constant pressure, volume is directly proportional to temperature
And when temperature is doubled volume also doubles
The temperature given in $^{\text{o}}{\text{C}}$ on conversion to ${\text{K}}$gives
${\text{273 + 273}}{\text{.15 = 546}}{\text{.15 K}}$
Thus from the above statement volume is doubled i.e., ${\text{44}}{\text{.8 litres}}$

So, the correct answer is Option A.

Additional information:
The factors that affect molar volume are
Size of the molecules, the volume occupied by the gas samples can be altered by varying the temperature and pressure, as gases are easily compressible by adjusting the pressure and temperature of the sample. With the increase in temperature, the volume of the gas also increases because of the expansion of gas and with the decrease in temperature; volume of the gas also decreases because of contraction of gas. By knowing the molar volume at a particular temperature and pressure it is possible to determine the volume occupied by any number of moles of the gas.

Note: The volume occupied by ${\text{1 mole}}$ of a chemical compound at standard Temperature Pressure is called molar volume. By dividing molar mass by mass density we can calculate the molar volume. The volume occupied by one mole of any gas at specific temperature and pressure is called molar gas volume.