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patriot [66]
3 years ago
5

Two kilograms of air within a piston–cylinder assembly executes a Carnot power cycle with maximum and minimum temperatures of 80

0 K and 295 K, respectively. The heat transfer to the air during the isothermal expansion is 60 kJ. At the end of the isothermal expansion the volume is 0.4 m3. Assume the ideal gas model for the air. Determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kJ.

Engineering
2 answers:
Alekssandra [29.7K]3 years ago
6 0

Answer:

a.) Thermal efficiency = 0.37

b.) Volume = 0.229 m^3

c.) Work done = 1393.3 kJ

Explanation: Please find the attached files for the solution

creativ13 [48]3 years ago
6 0

Answer:

thermal efficiency, η=  0.63125

volume at the beginning of the isothermal expansion, V1 = 0.34011 m3

work during the adiabatic expansion, in kJ = 766.59 KJ

Explanation:

<u>To determine the thermal efficiency</u>

The thermal efficiency of a heat engine gives an estimation of the amount of heat energy converted to work in the engine.

Thermal efficiency is given by: η= 1-  (Tc/Th)

where, Tc= ambient temperature or the minimum temperature

            Th=  maximum temperature

from the given data:

minimum temperature = 295 K

maximum temperature =  800 K

η= 1-  (295/800)

η=  0.63125

<u>To determine the volume at the beginning of the isothermal expansion, in m3</u>

We know,  ΔU = Q − W.

where,  ΔU is the change in internal energy of the system.

Q= mRT In (V2/V1)

Where, V1 = volume at the beginning of the isothermal expansion

             V2 = = volume at the end of the isothermal expansion

Therefore, V1 = V2 / (Q/mRT)

V1= 0.4/ ((60000/ (2 x 287 x 800))

V1 = 0.34011 m3

where, isothermal expansion given is 60 kJ

             isothermal expansion the volume given is 0.4 m3

<u>To determine the work during the adiabatic expansion, in kJ.</u>

Work during the adiabatic process is given by

W = − ΔU

where,  ΔU is the change in internal energy of the system

W at the first and second process = - 2 x 759 ( 295 - 800)

= 766590J = 766.59 KJ

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Answer:

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b)W=12.59 kJ/mol

Explanation:

At T = 100 °C the second and third virial coefficients are

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C = 25200 cm^6  mo1^-2

Now according isothermal work of one mole methyl gas is

W=-\int\limits^a_b {P} \, dV

a=v_2\\

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from virial equation  

\frac{PV}{RT}=z=1+\frac{B}{V}+\frac{C}{V^2}\\   \\P=RT(1+\frac{B}{V} +\frac{C}{V^2})\frac{1}{V}\\

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a=v_2\\

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\frac{P1V1}{RT} = 1+\frac{B}{v_1} +\frac{C}{v_1^2}

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Similarly solve for state 2 at P2 = 50 bar we get  

v_1=241.33 cm^3/mol

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W=-\int\limits^a_b {RT(1+\frac{B}{V} +\frac{C}{V^2}\frac{1}{V}  } \, dV

a=241.33

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After performing integration we get work done on the system is  

W=12.62 kJ/mol

(b) for Z = 1 + B' P +C' P^2 = PV/RT by performing differential we get  

         dV=RT(-1/p^2+0+C')dP

Hence work done on the system is  

W=-\int\limits^a_b {P(RT(-1/p^2+0+C')} \, dP

a=v_2\\

b=v_1

by substituting given limit and P = 1 bar , P2 = 50 bar and T = 373 K we get work  

W=12.59 kJ/mol

The work by differ between a and b because the conversion of constant of virial coefficients are valid only for infinite series  

8 0
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Answer:

b) False

Explanation:

Viscosity:

   Viscosity is a fluid property and comes in the picture when fluid in the motion.In Simple words viscosity is the frictional force offered by fluid between the fluid layer.Viscosity provides a resistant to flow of fluid.

Generally viscosity are of two types

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2.Kinematics viscosity

Generally in liquids when temperature of fluid is increases then molecular force between fluid particle goes to decreases.Due to this viscosity of liquids will decrease.

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Answer:

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They work with glass in various surfaces and settings, such as cutting and installing windows and doors, skylights, storefronts, display cases, mirrors, facades, interior walls, etc.

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