Critical temperature and critical pressure value of four gases are given
Gas      Critical            Critical 
          Temp. (K)       Pressure (atm)
   P         5.1                     2.2
  Q         33                       13
  R        126                      34
  S         135                     40
Which of the following gas(es) cannot be liquefied at a temperature 100 K and pressure 50 atm?
(1) S only
(2) P only
(3) R and S
(4) P and Q

Dear student

First of all refer to the definitions of critical temperature and critical pressure. 
Critical temperature is defined as the temperature above which a gas can not be liquefied, what so ever high value of pressure one can apply. 
Similarly the critical pressure is the pressure at the  critical condition of liquefaction.
Now in the given question, first of all, lets see according to the critical temperature. For P and Q, the critical temperatures of the gases are very low, (5.1 and 33K only). But the temperature used in the experiment is 100 K, which is very much greater than the given values, so P and Q cant be liquefied at this temperature mentioned. 

Regards
 

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