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Q.

An ideal gas is expanding such that PT2 = constant. The coefficient of volume expansion of the gas is A/T where T is temperature in Kelvin. Find the value of A.

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answer is 3.

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Detailed Solution

PT2=kγ=1VdVdT-----(i)nRTVT2=k⇒T3V=k′⇒V=T3k′-----(ii)dVdT=3T2K′-----(iii) From (i), (ii) and (iii) γ=k′T3×3T2k′=3T

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An ideal gas is expanding such that PT2 = constant. The coefficient of volume expansion of the gas is A/T where T is temperature in Kelvin. Find the value of A.