Which of the following gas minimum equivalent volume?

Options

A. one equivalent of hydrogen
B. one equivalent of oxygen
C. one equivalent of nitrogen
D. all have volumes

Answer

3

Explanation

Equivalent volume of any gas is the volume occupied by one equivalent of gas at NTP (or STP).
We all know that 1 mole of molecules of any gas occupies 22.4 L at NTP and 1 mole of atoms any diatomic gas `(H_(2), O_(2)` and `N_(2))` occupies 11.2 litres at NTP.
Since
1 equivalent of `H_(2) = 1 mol` of `H` atoms
or `1//2` mol of `H_(2)` molecules
1 equivalent of `O_(2)=1/2` mol of `O` atoms
or `1//4` mol of `O_(2)` molecules
1 equivant of `N_(2)=1/3` mol of `N` atoms
or `1//6` mol of `N_(2)` molecules
We have `(at NTP)`
Volume of 1 equivalent of `H_(2)(g)=11.2L`
Volume of 1 equivalent of `O_(2)(g)=5.6 L`
Volume of 1 equivalent of `N_(2)(g)=3.73 L`
through the knowledge for a gas as follows:
No of equivalents of gas `=("Volume of gas at NTP")/("Equivalent volume of gas")`
Note that different number of molecules are present in 1 equivalent of each of these gases:
i equivalent of `H_(2)=(6.022xx10^(23))/2 H_(2)` molecules
1 equivalent of `O_(2)=(6.022xx10^(23))/4 O_(2)` molecules
1 equivalent of `N_(2)=(6.022xx10^(23))/6 N_(2)` molecules