When heat is supplied to a diatomic gas at constant pressure, then the ratio of $△ Q : △ U : △ W$ will be

5 : 2 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 : 2 : 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 : 3 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 : 5 : 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $7 : 5 : 2$
We know that, $△ Q = μ C_{p} △ T = \frac{7}{2} μ R △ T [∵ C_{p} = \frac{7}{2} R]$
and $△ U = μ C_{v} △ T = \frac{5}{2} μ R △ T [∵ C_{V} = \frac{5}{2} R]$
and $△ W = △ Q - △ U$
$= μ R △ T$
$∴ △ Q : △ U : △ W = 7 : 5 : 2$ .

Suggest Corrections

Similar questions

Q. Heat is supplied to a diatomic gas at a constant pressure. The ratio of

Δ Q : Δ U : Δ W

Q. Heat is supplied to a diatomic gas at constant pressure. The ratio between heat energy supplied and work done is:

(

γ

for diatomic gas

= \frac{7}{5}

)

Q. A diatomic gas, having

C_{p} = \frac{7}{2} R

and

C_{v} = \frac{5}{2} R

is heated at constant pressure. The ratio

d U : d Q : d W

is -

In an isobaric process, the ratio of heat supplied to the system $Δ Q$ and work done by the system $Δ W$ for diatomic gas is

For a diatomic gas change in internal energy for unit change in temperature at constant pressure and constant volume are $U_{1}$ and $U_{2}$ respectively. $U_{1} : U_{2}$ is

Join BYJU'S Learning Program

When heat is supplied to a diatomic gas at constant pressure, then the ratio of △Q:△U:△W will be

The correct option is C 7:5:2We know that, △Q=μCp△T=72μR△T[∵Cp=72R]and △U=μCv△T=52μR△T[∵CV=52R]and △W=△Q−△U=μR△T∴△Q:△U:△W=7:5:2.

When heat is supplied to a diatomic gas at constant pressure, then the ratio of $△ Q : △ U : △ W$ will be

The correct option is C $7 : 5 : 2$
We know that, $△ Q = μ C_{p} △ T = \frac{7}{2} μ R △ T [∵ C_{p} = \frac{7}{2} R]$
and $△ U = μ C_{v} △ T = \frac{5}{2} μ R △ T [∵ C_{V} = \frac{5}{2} R]$
and $△ W = △ Q - △ U$
$= μ R △ T$
$∴ △ Q : △ U : △ W = 7 : 5 : 2$ .