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The volume of an ideal gas (γ = 1.5) is changed adiabatically from 4.00 litres to 3.00 litres. Find the ratio of (a) the final pressure to the initial pressure and (b) the final temperature to the initial temperature.

Amit Saxena , 10 Years ago
Grade upto college level
anser 1 Answers
Kevin Nash

Last Activity: 10 Years ago

Sol. γ = 1.5 Since it is an adiabatic process, So PV^γ = const. (a) P base 1V base 1^γ = P base 2V base 2^γ Given V base 1 = 4 L, V base 2 = 3 L, P base 2/P base 1 = ? ⇒ P base 2/P base 1 = (V base 1/V base 2)^γ = (4/3)^1/5 = 1.5396 = 1.54 (b) TV^γ-1 = Const. T base 1/V base 1)^γ-1 = T base 2/V base 2)^γ-1 ⇒ T base 1/T base 2 = (V base 1/V base 2)^γ-1 = (4/3)^0.5 = 1.154

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