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Chemistry - Thermodynamics - I Question with Solution | TestHub

ChemistryThermodynamics - IFirst law of ThermodynamicsMedium2 minPYQ_2018

ChemistryMediumsingle choice

1 mole of an ideal gas expands isothermally reversibly from 2 litre to 4 litre and 3 moles of the same gas expands from 2 litre to $x$ litre and doing same work, what is ' $x$ '?

Options:

Answer:

Solution:

$w = n RT ln \frac{V _{2}}{V _{1}} RT ln \frac{4}{2} = 3 RT ln \frac{x}{2} ln 2 = ln (\frac{x}{2})^{3} x^{3} = 16 \Rightarrow x = (16)^{\frac{1}{3}} = 4^{\frac{2}{3}}$

Stream:AIIMSSubject:ChemistryTopic:Thermodynamics - ISubtopic:First law of Thermodynamics

⏱ 2mℹ️ Source: PYQ_2018

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