Explanation The given equation of state of helium is as follows. P ( v − a ) = R T (I) Here, the pressure is P , the specific volume is v , the universal gas constant is R , the temperature is T and the constant is a . Rewrite the Equation (I) as follows. v = R T P + a (II) Partially differentiate the Equation (II) with respect to the temperature ( T ) by keeping the pressure ( P ) as constant. ( ∂ v ∂ T ) v = R ( 1 ) P + 0 = R P Write the formula for change in enthalpy ( d h ) given in Equation (12-29). d h = c P d T + [ v − T ( ∂ v ∂ T ) P ] d P (III) Here, the specific heat at constant pressure is c P , the change in temperature is d T , the change in specific pressure is d P and the symbol ∂ indicates the partial derivative of variables. Substitute R P for ( ∂ v ∂ T ) P and R T P + a for v in Equation (III). d h = c P d T + [ R T P + a − T ( R P ) ] d P = c P d T + ( R T P + a − R T P ) d P = c P d T + ( a ) d P = c P d T + a d P (IV) Integrate the Equation (IV) with two states 1 and 2 gives as follows. h 2 − h 1 = c P ( T 2 − T 1 ) + a ( P 2 − P 1 ) (V) Here, the change in enthalpy is h 2 − h 1 and the subscripts 1 and 2 indicates the two states of helium. Write the formula for change in enthalpy of ideal gas model. d h = c P d T When integrated for two states, h 2 − h 1 = c P ( T 2 − T 1 ) (VI) Refer Table A-2 (a), “Ideal-gas specific heats of various common gases”. The specific heat of helium at constant pressure ( c P ) is 5

9th Edition

ISBN: 8220106796979

Author: CENGEL

Publisher: YUZU

See similar textbooks

Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

Videos

Question

Chapter 12.6, Problem 38P

To determine

The change in enthalpy of helium, in kJ/kg and compare the result to the value obtained by using ideal gas equation of state.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.6, Problem 37P

Chapter 12.6, Problem 39P

Students have asked these similar questions

1- Determine the following: 1- RSHF? 2- C.C.C in tons-ref. 3- Mass of supply air? Fresh Spray chilled water S air 100% RH To 34 C db & 26 wbt S Operation fan room I Exhaust air Ti 22 C db & 50% RH

How do I solve this task A weight for a lift is suspended using an adapter. The counterweight is held up with 4 screws. The weight F is 3200kg. The screws have a strength class of 8.8. Safety factor 3 Which is the smallest bunch size that can be used?+_Sr/Fm =0,16Gr=0,71ơ=800·0.8=640 MPaAs=?Fmax= As·ơ·GrFs=ơs·AsFFm= Fs· GFSF =SF / FFm · FFm Fpreload =Fload / SF → Fload /3Fpreload per screw =Fload / SF → Fload /4As=Fpreload per screw /ơ·Gr → As= Fpreload per screw / 640· 0.71 The correct answer should be M12 with As=84.3mm²

... TELEGRAM ديسمبر ۲۰۲ عند الساعة سوأل الوجه البينة ۲۷ - Find the equivalent resistance between A and B bellows For the circuit shown. • All resistances in Ohms. 2 C 2 A 4 B www 4 E 5 www ww 8 bar K. Dr. Abduljabbo Hammade 27/12/2024

Chapter 12 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider the function z(x, y). Plot a differential...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 4P Ch. 12.6 - Prob. 5P Ch. 12.6 - Consider a function f(x) and its derivative df/dx....Ch. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The change in enthalpy of helium, in kJ/kg and compare the result to the value obtained by using ideal gas equation of state.

Solution Summary: The author compares the change in enthalpy of helium to the value obtained by using ideal gas equation of state.

Concept explainers

Videos

The change in enthalpy of helium, in kJ/kg and compare the result to the value obtained by using ideal gas equation of state.

Want to see the full answer?

Chapter 12 Solutions