AMU Medical AMU Solved Paper-2005

  • question_answer
    If the value of \[{{C}_{p}}\] for nitrogen gas is\[7\,J{{K}^{-1}}\,mo{{l}^{-1}}\] , then the value of \[\Delta H\] on heating 28 g of nitrogen gas from \[{{0}^{o}}C\] to \[{{100}^{o}}C\] at constant pressure will be

    A)  1200 J                                  

    B)  1300 J

    C)  1400 J                                  

    D)  1500 J

    Correct Answer: C

    Solution :

                                    Key Idea Heat of reaction at constant pressure is given by the equation                 \[\Delta H=n{{C}_{p}}({{T}_{2}}-{{T}_{1}})\] Here      \[{{C}_{p}}=7\,J{{K}^{-1}}\,mo{{l}^{-1}}\] weight of \[{{N}_{2}}\] gas = 28 g                 \[{{T}_{1}}={{0}^{o}}C=273+0=273\,K\]                 \[{{T}_{2}}={{100}^{o}}C=273+100=373\,K\] Number of moles                 \[=\frac{weight\text{ }of\text{ }nitrogen}{molecular\text{ }weight\text{ }of\text{ }nitrogen}\]                 \[=\frac{28}{14}=2\] Now by using                 \[\Delta H=n\,{{C}_{p}}({{T}_{2}}-{{T}_{1}})\]                 \[=2\times 7\,(373-273)\]                 \[\Delta H=14\times 100=1400\,J\]


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