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Asked by adjacentcalliber10 | 10 May, 2019, 12:00: PM
Expert Answer
for adiabatic process, we have PV γ = K ...................(1)
where P is pressure, V is volume, γ is ratio of specific heat of constant volume and constant pressure and K is a constant.
by taking logarithm on both sides of eqn.(1), we have ln(P) + γ ln(V) = ln(K)
Hence we have, ln(P) = ln(K) - γ ln(V) ..............................(2)
Eqn.(2) shows the linear relationship between ln(P) and ln(V) as shown in graphs of figure given in question with negative slope.
Hence slope of each graph equals the ratio of specific heat of constant volume and constant pressure.
slope of graph-X that represent gas-1 is greater than slope of graph-Y that represent gas-2.
Hence ratio of specific heats of gas-1 is graeter than that of gas-2
γ1 > γ2 ;
Specific heat is directly prportional to degrees of freedom f . Since we have CV2 > CV1 , then f2 > f1
Answered by Thiyagarajan K | 12 May, 2019, 05:24: PM
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