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SSC Sample Paper Mock Test-1 SSC CGL Tear-II Paper-1

  • question_answer
    Pressure varies inversely as volume varies and temperature varies directly as volume varies. At a time volume \[=50\,\,{{m}^{3}},\]temperature =25 K and pressure = 1 atm. If volume is increased to \[200\,\,{{m}^{3}},\]then the temperature will be    

    A)            100 K

    B)  20 K   

    C)  400 K              

    D)  80 K

    Correct Answer: A

    Solution :

    As, pressure (p) varies inversely as volume (V) \[\therefore \]\[p\propto \frac{1}{V}\]and \[T\propto V\]\[\Rightarrow \]\[p=\frac{{{K}_{1}}}{V}\]and \[T={{K}_{2}}V\] But \[V=50,\]\[T=25\]and\[p=1\] \[\Rightarrow \]\[{{K}_{1}}=50\]and\[{{K}_{2}}=\frac{1}{2}\]\[\therefore \]\[p=\frac{50}{V}\]and \[T=\frac{1}{2}V\] where \[V=200,\]then \[T=\frac{1}{2}\times 200=100\,\,K\]


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