Question

at a constant pressure a given amount of Ideal diatomic gas expands on the normal condition the heat supplied to the gas is 350J then,​

Answer 1

The fraction of the heat energy supplied is 5/7

Explanation:

Correct statement:

When an ideal diatomic gas is heated at constant pressure,the fraction of the heat energy supplied which increases the internal energy of the gas is_ 1)2/5 2)3/5 3)3/7 4)5/7

Solution:

Fraction of heat energy supplied which increases the internal energy:

Let n = Number of moles the gas

Cv = Specific heat at constant volume

Cp = Specific heat at constant pressure

dT=Change in temperature

γ = Ratio of specific heats of gas

△U/△Q=nCvdT/nCpdT = Cv/Cp

            =1/γ

For diatomic gas, γ =7/5

Hence, △U/△Q = 1/γ = 5/7

The fraction of the heat energy supplied is 5/7.

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Answer 2

Answer:

so basically we know the change in internal energy is = n*Cv*dT = n*f/2*R*dT and as the gas is diatomic , f= 5

.

pressure is const. so the work done will be = n*R*dT

from first law of thermodynamics:

dQ= dU+dW

substuting

dQ= n* 5/2*R*dT + n*R*dT

dQ=350J

350= n* 5/2*R*dT + n*R*dT

n*R*dT(7/2)=350

therefore

n*R*dT= 100

from here calculate change in internal energy (dU)

dU= n*5/2*R*dT = 100*5/2= 250 J (ans)