1.

The vander waals constant for gases `A,B` and `C` are as follows: `{:(Gas,a//dm^(6)KPa mol^(-2),b//dm^(3) mol^(-1)),(A,405.3,0.027),(B,1215.9,0.030),(C,607.95,0.032):}` Which gas has (i) Highest critical temperature (ii) The largest molecular volume (iii) Most ideal behaviour around `STP`?

Answer» `T_(c) = (8a)/(27Rb)` Since, `R` is constant, higher the value of `a//b`, higher will be critical temperature, `V_(c) = 3b` and `V_(c) prop V_(m)` (for a particular gas) therefore higher the value of `V_(c)`, higher will be molar volume of the gas.
If the critical temperature is close to `273K`, gas will behave ideally around the `STP`. Let us illustrate teh result in a tabular form.
`{:(Gas,a//dm^(6)KPa mol^(-2),b//dm^(3)mol^(-1),T_(c),V_(c),a//b),(A,405.3,0.027,534.97K,0.081,1.501xx10^(4)),(B,1215.9,0.030,1444.42K,0.09,4.053xx10^(4)),(C,607.95,0.032,677.07K,0.096,1.89xx10^(4)):}`
(i) `B` gas has the largest critical temperature.
(ii) `C` gas has the largest molecular volume.
(iii) `A` gas has the most ideal behaviour around `STP`


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