Question

4. A quantity of air occupying a volume of 1 m³ at 4 bar and 150°C is allowed to expand isentropically to 1 bar. Its enthalpy is then raised by 70 kJ by heating at constant pressure. What is the total work done and heat transferred during this process? [W=347 kJ, Q=70 kJ] If the whole process is to be replaced by a polytropic expansion which will result in the same final pressure and temperature, what index of expansion is required? Compare the work and heat transfer of this process with that of the original one. [W=360 kJ, Q=81.4 kJ]

          4. A quantity of air occupying a volume of 1 m³ at 4 bar and 150°C is
allowed to expand isentropically to 1 bar. Its enthalpy is then raised by
70 kJ by heating at constant pressure.
What is the total work done and heat transferred during this process?
[W=347 kJ, Q=70 kJ]
If the whole process is to be replaced by a polytropic expansion which
will result in the same final pressure and temperature, what index of
expansion is required? Compare the work and heat transfer of this process
with that of the original one.
[W=360 kJ, Q=81.4 kJ]

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4. A quantity of air occupying a volume of 1 m³ at 4 bar and 150°C is
allowed to expand isentropically to 1 bar. Its enthalpy is then raised by
70 kJ by heating at constant pressure.
What is the total work done and heat transferred during this process?
[W=347 kJ, Q=70 kJ]
If the whole process is to be replaced by a polytropic expansion which
will result in the same final pressure and temperature, what index of
expansion is required? Compare the work and heat transfer of this process
with that of the original one.
[W=360 kJ, Q=81.4 kJ]

Added by Alejandra G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sufiyan Alam

Step 1

- Initial volume \( V_1 = 1 \, \text{m}^3 \) - Initial pressure \( P_1 = 4 \, \text{bar} \) - Initial temperature \( T_1 = 150^\circ \text{C} = 423 \, \text{K} \) - Final pressure after isentropic expansion \( P_2 = 1 \, \text{bar} \) - Enthalpy increase at Show more…

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A quantity of air occupying a volume of 1 m^3 at 4 bar and 150Â°C is allowed to expand isentropically to 1 bar. Its enthalpy is then raised by 70 kJ by heating at constant pressure. What is the total work done and heat transferred during this process? [W=347 kJ, Q=70 kJ] If the whole process is to be replaced by a polytropic expansion which will result in the same final pressure and temperature, what index of expansion is required? Compare the work and heat transfer of this process with that of the original one. [W=360 kJ, Q=81.4 kJ]

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