Uttarakhand PMT Uttarakhand PMT Solved Paper-2010

  • question_answer
    38.00 mL of moist nitrogen gas were collected at\[27{}^\circ C\]and 746.5 mm pressure. What is the volume of the gas at\[0{}^\circ C\]and 760 mm pressure? (Aq. tension at\[27{}^\circ C\]is 26.5 mm).

    A)  32.76          

    B)  23.76

    C)  12.05           

    D)  11.56

    Correct Answer: A

    Solution :

     Given conditions      Final conditions \[{{V}_{1}}=38.\text{ }0\text{ }mL,\]         \[{{V}_{2}}=?\] \[{{p}_{1}}=746.5-26.\text{ }5\text{ }mm,\] \[{{p}_{2}}=760mm\] \[=720\text{ }mm\] \[{{T}_{1}}=27+273=300\text{ }K\] \[{{T}_{2}}=0+273=273K\] By applying the general gas equation \[\frac{760\times {{V}_{2}}}{273}=\frac{720\times 38}{300}\] \[\therefore \] \[{{V}_{2}}=\frac{720\times 38}{300}\times \frac{273}{760}\] \[=32.76\text{ }mL\] Volume of nitrogen at\[0{}^\circ C\]and 760 mm pressure \[=32.76\text{ }mL\]


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