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# 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