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NEET Sample Paper NEET Sample Test Paper-79

  • question_answer
    Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperature is\[22{}^\circ C\]. During the day, temperature rises \[42{}^\circ C\] and the tube expands by\[2\,%\]. The pressure of the air in the tube at this temperature will be approximately                                                           

    A)  212 kPa                       

    B)  209 kPa                                        

    C)  206 kPa                       

    D)  200 kPa         

    Correct Answer: B

    Solution :

    By ideal gas equation \[\operatorname{pV} = nRT\] \[\frac{{{p}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{p}_{2}}{{V}_{2}}}{{{T}_{2}}}\] Given, \[{{\operatorname{p}}_{1}} = 200 kPa,\,\,{{V}_{1}}=V\] \[{{T}_{1}}= 273+22\] \[=\,\,\,295\,\,K\] \[{{V}_{2}} =V +0.02 V\] \[{{T}_{2}} =273+42= 315 K\] \[\therefore \,\,\,\,\,\,\frac{200\times V}{295}=\frac{{{p}_{2}}\times 1.02\,V}{315}\] \[{{p}_{2}}=\frac{200\times 315}{295\times 1.02}=209\,\,kPa\]


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