Chemical Engineering Thermodynamics
The expression for entropy change given by, ΔS = nR ln (V₂/V₁) + nCv ln (T₂/T₁) is valid for

Simultaneous heating and expansion of an ideal gas
Cooling of a substance
Reversible isothermal volume change
Heating of a substance

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Chemical Engineering Thermodynamics
Choose the condition that must be specified in order to liquify CO₂ (triple point for CO₂ is - 57°C and 5.2 atm).

Pressure must be kept below 5.2 atm
Pressure and temperature must be kept below 5.2 atm. and - 57°C respectively
Temperature must be kept above - 57°C
Pressure must be kept below 5.2 atm. and temperature must be kept above 57°C

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Chemical Engineering Thermodynamics
It is desired to bring about a certain change in the state of a system by performing work on the system under adiabatic conditions.

The amount of work needed is independent of path
Work alone can not bring out such a change of state
The amount of work needed is path dependent
More information is needed to conclude anything about the path dependence or otherwise of the work needed

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Chemical Engineering Thermodynamics
The necessary condition for phase equilibrium in a multiphase system of N components is that the

None of these
Chemical potentials of a given component should be equal in all phases
Sum of the chemical potentials of any given component in all the phases should be the same
Chemical potentials of all components should be same in a particular phase

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