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एक आदर्श गैस इस प्रकार से फैलती है कि `PT^(2)=` नियतांक गैस का आयतन प्रसार गुणांक है:
A. `1/T`
B. `2/T`
C. `3/T`
D. `4/T`

1 Answer

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Best answer
Correct Answer - c
`PT^(2)=` नियतांक `(=K)`
हम जानतेक हैं कि आदर्श गैस के लिए
`PV=muRT :. P=(mu RT)/V`
`P` का यह मान उपरोक्त समीकरण में रखने पर
`P` का यह मान उपरोक्त समीकरण में रखने पर
`((muRT)/V)T^(2)=K`
`:.(KV)/(muR)=T^(3)`
अवकलित करने पर `(K dV)/(muR)=3T^(2)dT`
अथवा `(dV)/(dT)=(3(muRT)T)/K=(3(PV)T)/(PT^(2))=(3V)/T`
`:.` आयतन प्रसार गुणांक `(dV)/(V dT)=3/T`

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