Heat obtained due to expansion of 1 mole of ${H}_2$ gas at $1000 \mathrm{~K}$ from $10 \mathrm{~L}$ to $100 \mathrm{~L}$ under isothermal reversible condition is absorbed by an engine having a sink at $300 \mathrm{~K}$. Useful work obtained is

NEET UG CHEMISTRY MCQ: THERMODYNAMICS

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Heat obtained due to expansion of 1 mole of

{H}_2

gas at

1000 \mathrm{~K}

from

10 \mathrm{~L}

100 \mathrm{~L}

under isothermal reversible condition is absorbed by an engine having a sink at

300 \mathrm{~K}

. Useful work obtained is

View answer and explanation

Correct option: D

3224 \mathrm{~cal}

Option D (3224 cal) is correct because it involves calculating the work done during isothermal expansion, then finding the useful work using the Carnot efficiency.

More Questions from THERMODYNAMICS

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The internal energy of one mole of a gas is: An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If

{T_i}

is the initial temperature and

{T_f}

is the final temperature, which of the following statements is correct? For which of the process, ∆S is negative? The work done by a weightless piston in causing an expansion ∆V (at constant temperature), when the opposing pressure, P is variable, is given by: Assertion :- At constant pressure of the change

\mathrm{H}_2 \mathrm{O}(\mathrm{s}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g})

work done is negative.

Reason :- During phase transition work done is always negative. For the reaction,

\mathrm{X}_2 \mathrm{O_4(l}) \longrightarrow 2 \mathrm{XO}_2(\mathrm{g}), \Delta U=2.1 \mathrm{~kcal}, \Delta S=20 \mathrm{~cal} \mathrm{~K}^{-1}

300 \mathrm{~K}

. Hence,

\Delta G