SATHEE: Heat and Thermodynamics 4 Question 1

Heat and Thermodynamics 4 Question 1

1. A diatomic gas with rigid molecules does $10 J$ of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process?

(2019 Main, 12 April II)

(a) $25 J$

(b) $35 J$

(c) $30 J$

(d) $40 J$

Show Answer

Solution:

Work done by a gas is

$W = p Δ V = n R Δ T = 10 J$

As the gas is diatomic,

$C_{p} =$ specific heat of gas at constant pressure $= \frac{7}{2} R$

So, heat absorbed by gas at constant pressure is

$\begin{aligned} Δ Q & = n C_{p} Δ T = n \frac{7}{2} R Δ T \\ = \frac{7}{2} (n R Δ T) \\ = \frac{7}{2} \times 10 \\ = 35 J \end{aligned}$

[From Eq. (i)]

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Heat and Thermodynamics 4 Question 1

1. A diatomic gas with rigid molecules does 10J of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process?

Solution:

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1. A diatomic gas with rigid molecules does $10 J$ of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process?