A gas has the equation of state [frac{p v}{Re T}=mathrm{a}-mathrm{b} T] where (mathrm{a}) and (mathrm{b}) are constants.

Question:

A gas has the equation of state

\[\frac{p v}{\Re T}=\mathrm{a}-\mathrm{b} T\]

where $\mathrm{a}$ and $\mathrm{b}$ are constants. If the gas is compressed reversibly and isothermally at the temperature $T^{\prime}$ show that the compression will also be adiabatic if

\[T^{\prime}=\frac{\mathrm{a}}{2 \mathrm{~b}}\]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Advanced Thermodynamics For Engineers

ISBN: 9780080999838

2nd Edition

Authors: D. E. Winterbone, Ali Turan

See More Books

Question Posted: Mar 26, 2024 04:00 AM

See More Questions

Sketch a graph of f(t) = e t on an arbitrary interval [a, b]. Use the graph and compare areas of regions to prove that eb ea e + eb ela+b)/2 < b a 2
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 7x1 + 5x2 %3D subject to X1 + x2 2 4 X - 2x, 2 -8 -2x, + x, 2 -8 | X1, X2 2
In Part V, when studying fluid dynamics, we shall encounter an adiabatic index [Eq. (13.2)] that describes how the pressure P of a fluid changes when it is compressed adiabatically (i.e., compressed...
Give examples of three exceptions to the Cardozo rule of foreseeability.
Why did Alibaba attract so much interest from investors? Should investors expect to earn significant profits from shares in Alibaba?
It can be argued that the TIE ratio doesnt make much sense. Why? How would you change the measure to be more meaningful?
Using the variance data for Menounos Manufacturing Co., prepare an income statement through gross profit for the year ended December 31, 20Y6. Assume the company sold 3,000 units at $100 per unit.
PAR AND NO-PAR, COMMON AND PREFERRED STOCK Hernandez Company had the following stock transactions during the year: (a) Issued 25,000 shares of $1 par common stock for $25,000 cash. (b) Issued 20,000...
The adjusted trial balance for Chiara Company as of December 31 follows. Cash Accounts receivable Interest receivable Debit $ 30,000 Credit 52,000 18,000 nt ok Notes receivable (due in 90 days)...
A closed vessel of $0.15 \mathrm{~m}^{3}$ capacity contains a mixture of methane $\left(\mathrm{CH}_{4} ight)$ and air, the air being $20 \%$ in excess of that required for chemically correct...
How can the equation of state in the form of a relationship between pressure, volume and temperature be used to extend limited data on the entropy of a substance. A certain gas, A, has the equation...
Give the basic design of a test driver.
In 2012, an article in the New York Times observed that: The financial consequences of a Greek departure from the euro monetary union could be severe. a. What does the article mean by a Greek...
The following statement appeared in a feature in the New York Times that provides an overview of the Federal Reserve System: The federal funds rate is set by the Feds Open Market Committee, composed...
In addition to commercial banks, other financial institutions, such as Fannie Mae, Freddie Mac, and the Federal Home Loan Banks borrow and lend in the federal funds market. (The 12 Federal Home Loan...
During the financial crisis of 20072009, the Fed set up the following temporary lending facilities: the Primary Dealer Credit Facility, the Term Securities Lending Facility, the Commercial Paper...
In 2010, arguing that the Chinese yuan was overvalued versus the U.S. dollar, President Barack Obama said he wanted to make sure our goods are not artificially inflated in price and their goods are...
A 200-pound man has a total foot imprint area of 72 in2. Determine the pressure this man exerts on the ground if (a) He stands on both feet and (b) He stands on one foot.
PC Contractors, Inc., was an excavating business in Kansas City, Missouri. Union Bank made loans to PC, subject to a perfected security interest in its equipment and other assets, including...
Describe the first bill of rights Amendment? What would a business need to consider regarding this Amendment? List an example of how this Amendment protection may play out in real life.
Describe the Assualt intentional tort? What are the elements required to prove the tort? What defenses could a party raise if accused of this tort? List an example of how this intentional tort may...
Given current spot rate is 1.250 GBP/USD, and the annualized GBP currency option's volatility is 7.5%. There is a 182-day GBP currency option. You executed an at-the-money call with both USD and GBP...

A gas has the equation of state [frac{p v}{Re T}=mathrm{a}-mathrm{b} T] where (mathrm{a}) and (mathrm{b}) are constants.

Question:

Step by Step Answer:

Advanced Thermodynamics For Engineers

Students also viewed these Sciences questions