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Question
A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27°C). The ratio of specific heat of gases at constant volume respectively is:
Options
`7/5`
`3/2`
`3/5`
`5/3`
MCQ
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Solution
`bb(3/5)`
Explanation:
For a monoatomic gas:
CV = `3/2 R`
For a diatomic gas (rigid):
CV = `5/2 R`
Since 1 mole of each gas is present, the ratio of their CV is:
`C_(V, "mono")/(C_(V, "diatomic") = (3/2 R)/(5/2 R)`
= `3/5`
But the question asks “respectively” (monoatomic : diatomic), so the correct ratio is `3/5`.
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