Why is the value of C _ P greater than C _ v ? - Vidyadip

Question

Why is the value of $C _{ P }$ greater than $C _{ v }$ ?

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Answer

$C_P-C_V=R$
$C _{ P }> C _{ V }$
That is, $C _{ p }> C _{ v }$, this happens because the heat given at a fixed volume is used only in increasing the temperature, the work in this process is zero.
$[\Delta W = PdV =0]$
Whereas the heat given at constant pressure is used for both temperature increase and work. Therefore it happens the value of $C _{ p }$ is greater than $C _{ V }$

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