Engineering Thermodynamics
The index of compression ‘n’ tends to reach ratio of specific heats ‘y’ when

Process is isentropic
Process is isothermal
Process is isentropic and specific heat does not change with temperature
Flow is uniform and steady

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Engineering Thermodynamics
Work-done during adiabatic expansion is given by (where p1 v1, T1 = Pressure, volume and temperature for the initial condition of gas, p2, v2, T2 = Corresponding values for the final condition of gas, R = Gas constant, and γ = Ratio of specific heats)

(p1 v1 - p2, v2)/(γ - 1)
All of these
[m R (T1 - T2)] /(γ - 1)
[m R T1/(γ - 1)][1 - (p2, v2 /p1 v1)]

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

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
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

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