NEET Sample Paper NEET Sample Test Paper-52

  • question_answer
    If the pressure of a given mass of gas is reduced to   half  and   temperature   is   doubled simultaneously, the volume will be-

    A) Same as before  

    B) Twice as before

    C) Four time as before

    D)   One fourth as before

    Correct Answer: C

    Solution :

    As per equation of state \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\,\,{{P}_{2}}=\frac{{{P}_{1}}}{2}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{T}_{2}}=2{{T}_{1}}\]\[or\,\,\,{{V}_{2}}\,\,=\,\,\frac{{{T}_{2}}}{{{T}_{1}}}\times \frac{{{P}_{1}}}{{{P}_{2}}}\,\times \,{{V}_{1}}\,\,=\,\frac{2{{T}_{1}}}{{{T}_{1}}}\,\times \,\frac{{{P}_{1}}}{\frac{{{P}_{1}}}{2}}\times {{V}_{1}}\] \[=\,\,4{{V}_{1}}\]


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