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Q.

To raise the temperature of a certain mass of gas by 500C at a constant pressure, 160 calories of heat is required. When the same mass of gas is cooled by 1000C at constant volume, 240 calories of heat is released. How many degrees of freedom does each molecule of this gas have (assume gas to ideal)?

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a

3

b

6

c

5

d

7

answer is B.

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Detailed Solution

At constant pressure dQ=mcpdT 160=mcP50At constant volumedQ=mcVdT240=mcV(100)⇒⇒cP(50)cv(100)=160240γ2=23∵γ=cPcv=CPCvγ=43f=2γ-1=243-1=6

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To raise the temperature of a certain mass of gas by 500C at a constant pressure, 160 calories of heat is required. When the same mass of gas is cooled by 1000C at constant volume, 240 calories of heat is released. How many degrees of freedom does each molecule of this gas have (assume gas to ideal)?