In ischoric process,$dU=dQ$.Does it mean Cp=Cv?

2018-06-05 08:21:39

Simply,

$dU=nC_vdT$

$dQ=nC_pdT$

Does this mean that $C_p=C_v$ for an isochoric process?

No.

Specific heats do not depend on the process and are constants(for a given material at a specific Temperature).

$C_v$ is specific heat for constant volume and $C_p$ is for constant pressure. You apply them according to these conditions. In Isochoric process only $C_v$ is relevant since it is constant volume process. However if you consider Isobaric process(constant pressure) then only $C_p$ is relevant.

In fact there is a relation between the two specific heats -$$C_p - C_v = R$$.

  • No.

    Specific heats do not depend on the process and are constants(for a given material at a specific Temperature).

    $C_v$ is specific heat for constant volume and $C_p$ is for constant pressure. You apply them according to these conditions. In Isochoric process only $C_v$ is relevant since it is constant volume process. However if you consider Isobaric process(constant pressure) then only $C_p$ is relevant.

    In fact there is a relation between the two specific heats -$$C_p - C_v = R$$.

    2018-06-05 11:04:35