For real gases, van der Waals' equation is written as
`(P+(an^(2))/(V^(2))) (V-nb)= nRT`
where `a` and `b` are van der Waals' constants.
Two sets of gases are:
`(I) O_(2), CO_(2), H_(2)` and `He(II) CH_(4), O_(2)` and `O_(2) and H_(2)`
The gases given in set `I` in increasing order of `b` and gases given in set `II` in decreasing order of `a` are arranged below. Select the correct order from the following:

Options

A. `(I)O_(2)lt He lt H_(2) lt CO_(2) (II) H_(2)gt O_(2) gt CH_(4)`
B. `(I) H_(2) lt He lt O_(2) lt CO_(2) (II) CH_(4) gt O_(2) gt H_(2)`
C. `(I)H_(2) lt O_(2) lt He lt CO_(2) (II) O_(2) gt CH_(4) gt H_(2)`
D. `(I)He lt H_(2) lt CO_(2) lt O_(2) (II) CH_(4) gt H_(2) gt O_(2)`

Answer

B

Explanation

As per actual data's
sequence of Vander Wall constant (a)
`{:(,H_(2),lt,He,lt,O_(2),lt,CO_(2)),("value",0.244,,0.34,,1.36,,3.54):}`
and sequence of Vander Wall constant (b)
`{:(,CH_(4),gt,O_(2),gt,H_(2)),("value",0.042,,0.031,,0.026):}`