Engineering Thermodynamics
Relation between cp and cv is given by (where cp = Specific heat at constant pressure, cv = Specific heat at constant volume, γ = cp/cv, known as adiabatic index, and R = Gas constant)

cv/ cp =R
cp - cv = R
Both (B) and (C)
cv = R/ γ-1

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Engineering Thermodynamics
According to Kelvin-Planck’s statement of second law of thermodynamics,

It is possible to construct an engine working on a cyclic process, whose sole purpose is to convert heat energy into work
It is impossible to construct an engine working on a cyclic process, whose sole purpose is to convert heat energy into work
It is impossible to construct a device which operates in a cyclic process and produces no effect other than the transfer of heat from a cold body to a hot body
None of these

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