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An ideal mono-atomic gas of given mass is heated at constant p

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An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied energy used for the increase of the internal energy of the gas is

\frac{3}{8}

\frac{3}{5}

\frac{3}{4}

\frac{2}{5}

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An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied energy used for the increase of the internal energy of the gas is

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Text solutionVerified

Let the change in temperature of the gas be

Δ T

Thus, the amount of heat supplied under constant pressure is

Q = C_{P} Δ T

The change in internal energy is

Δ U = C_{V} Δ T

Thus, the fraction of energy used for internal energy is

\frac{Δ U}{Q} = \frac{C _{V}}{C _{P}}

For a mono-atomic ideal gas,

C_{V} = 3 R /2

and

C_{P} = 5 R /2

Thus,

\frac{Δ U}{Q} = \frac{C _{V}}{C _{P}} = \frac{3 R /2}{5 R /2} = \frac{3}{5}

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Question Text	An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied energy used for the increase of the internal energy of the gas is
Answer Type	Text solution:1
Upvotes	150

An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied energy used for the increase of the internal energy of the gas is

Text solutionVerified

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