For real gases van der Waals' equation is. Written as \[\left( p+\frac{a{{n}^{2}}}{{{V}^{2}}} \right)(V-nb)=n\,RT\] written where, a and b are van der Waals' constants. [AIPMT (M) 2012] |
Two sets of gases are \[I.{{O}_{2}},C{{O}_{2}},{{H}_{2}}\] and He \[II.C{{H}_{4}},{{O}_{2}}\] 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, |
A) \[\text{(I)}\,He\,<\,{{H}_{2}}<\,C{{O}_{2}}<\,{{O}_{2}}\]\[\text{(II})\,C{{H}_{4}}\,>\,{{H}_{2}}>\,{{O}_{2}}\]
B) \[\text{(I)}\,\,{{O}_{2}}<\,He\,\,<\,{{H}_{2}}<\,C{{O}_{2}}\]\[\text{(II})\,\,{{H}_{2}}>\,{{O}_{2}}\,\,>\,C{{H}_{4}}\]
C) \[\text{(I)}\,\,{{H}_{2}}<\,He\,\,<\,{{O}_{2}}<\,C{{O}_{2}}\]\[\text{(II)}\,C{{H}_{4}}>\,{{O}_{2}}>\,{{H}_{2}}\]
D) \[\text{(I)}\,{{H}_{2}}<\,{{O}_{2}}<\,He\,<\,C{{O}_{2}}\]\[\text{(II})\,\,{{O}_{2}}>\,C{{H}_{2}}\,>\,{{H}_{2}}\]
Correct Answer: C
Solution :
From experimental values of and b, sequence of van der Waals constant, is | ||||||||||
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\[{{H}_{2}}<He<{{O}_{2}}<C{{O}_{2}}\] | ||||||||||
and sequence of van der Waals constant is | ||||||||||
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\[(II)\,\,C{{H}_{4}}>{{O}_{2}}>{{H}_{2}}\] |
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