JEE Main & Advanced Sample Paper JEE Main Sample Paper-7

  • question_answer
    Two moles of a mono-atomic gas, undergoes a process such that the temperature changes from \[\theta \] to \[4\theta \]. The heat supplied to the system is

    A)  \[15R\theta \]                 

    B)  \[\frac{3}{8}R\theta \]

    C)  \[\frac{2}{15}{{R}^{2}}\theta \]                

    D)  \[\frac{2}{15}R\theta \]

    Correct Answer: A

    Solution :

    Process is isobaric. So \[dQ=n{{C}_{p}}dT\] For monoatomic gas, \[{{C}_{\upsilon }}=\frac{3}{2}R\] and \[{{C}_{p}}=\frac{5}{2}\operatorname{R}\] So, \[dQ=2\times \frac{5}{2}R\times (4\theta -\theta )=15R\theta \] 


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