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Q.

If for hydrogen Cp-Cv = m and  for nitrogen Cp-Cv = n, where Cp and Cv refer to specific heats per unit mass respectively at constant pressure and constant volume, the relation between m and n is: (Molecular weight of hydrogen = 2 and molecular weight of nitrogen = 14)

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a

n = 14m

b

n = 7m

c

m = 7n

d

m = 14n

answer is C.

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Detailed Solution

  m = 7n and Cp-Cv = m, for hydrogen (M1 = 2)

     Cp-Cv = n, for nitrogen (M2 = 14)

For hydrogen, Cp-Cv = 1M1dQdT = m

For nitrogen, Cp-Cv = 1M2dQdT = n

 mn = 1M1dQdT1M2dQdT = M2M1 = 142 = 7

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