Question 491: Thermodynamics & KTG

Question

N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas ?

Accepted Answer

Initial kinetic energy of N mole of diatomic gas,
K
i
= N$${5 \over 2}$$ RT
Kinetic energy of n mole of monoatomic gas
= n $${3 \over 2}$$ RT
When n mole of diatomic gas converted into monoatomic gas then remaining diatomic gas = (N $$-$$ n)
Find kinetic energy,
K
F
= (2m)$${3 \over 2}$$RT + (N $$-$$ n)$${5 \over 2}$$ RT
= $${1 \over 2}$$ nRT + $${5 \over 2}$$ NRT
$$	herefore\,\,\,$$ Change in kinetic energy,
$$\Delta $$K = K
f
$$-$$ K
i
= $${1 \over 2}$$ nRT

Answer

$${1 \over 2}$$  nRT

Answer

0

Answer

$${3 \over 2}$$ nRT

Answer

$${5 \over 2}$$ nRT

Thermodynamics & KTG

N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas ?

Choose the correct answer: