For silver C_{p}(JK^{-1}mol^{-1})=23+0.01T. If the temperature (T) of 3 moles of silver is raised from 300 \; K to\; 1000 \; K at 1 atm pressure, the value of \Delta H will be close to :
 

  • Option 1)

    21\; kJ

  • Option 2)

    13\; kJ

  • Option 3)

    16\; kJ

     

  • Option 4)

    62\; kJ

Answers (1)

\Delta H=n\int_{T_{1}}^{T_{2}}Cp,mdT=3\times\int_{300}^{1000}(23+0.01T)dT

           =3[23(1000-300)+\frac{0.01}{2}(1000^{2}-300^{2})]

            =61950 \; J\approx 62\; kJ

 


Option 1)

21\; kJ

Option 2)

13\; kJ

Option 3)

16\; kJ

 

Option 4)

62\; kJ

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