JEE Main 2019 — Physics solution

JEE Main2019Physics

When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $Δ$ T. The heat required to produce the same change in temperature, at a constant pressure is:

A
$\frac{3}{2} Q$
B
$\frac{2}{3} Q$
C
$\frac{7}{5} Q$
D
$\frac{5}{2} Q$

Solution

Heat supplied at constant volume

$Q = n C_{v} Δ T$

and heat supplied at constant pressure

$Q_{1} = n C_{p} Δ T ∴ \frac{Q _{1}}{Q} \frac{C _{p}}{C _{v}} \Rightarrow Q_{1} = (Q) (\frac{7}{5})$

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