Question: An ideal gas undergoes two processes in a pistoncylinder device as follows: 1-2 Polytropic compression from T1 and P1 with a polytropic exponent n and

An ideal gas undergoes two processes in a pistoncylinder device as follows:
1-2 Polytropic compression from T1 and P1 with a polytropic exponent n and a compression ratio of r = V1/V2.
(a) Sketch the processes on a single P-V diagram.
(b) Obtain an expression for the ratio of the compression-to- expansion work as a function of n and r.
(c) Find the value of this ratio for values of n = 1.4 and r = 6.

Step by Step Solution

★★★★★

3.49 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

An ideal gas undergoes two processes in a pistoncylinder device The process is to be sketched on a P... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

837-ME-T (4968).docx

120 KBs Word File

Students Have Also Explored These Related Mechanical Engineering Questions!

A gas undergoes two processes. In the first, the volume remains constant at 0.200 m3 and the pressure increases from 2.00 X 105 Pa to 5.00 X 105 Pa. The second process is a compression to a volume of...

A system consisting of n mol of an ideal gas undergoes two reversible processes. It starts with pressure Pi and volume Vi, expands isothermally, and then contracts adiabatically to reach a final...

A cylinder with a frictionless, movable piston like that shown in Fig. 19.5 contains a quantity of helium gas. Initially the gas is at a pressure of 1.00 X 105 Pa, has a temperature of 300 K, and...

= Air undergoes a polytropic process in a piston-cylinder assembly from p1 = 1 bar, T1 = 295 K to p2 = 7 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are...

Urgent [will upvote] An ideal gas trapped inside a piston-cylinder assembly undergoes a 4-step process called an Otto cycle (an ideal and simplified representation of the internal combustion engines...

Two kilograms of carbon dioxide gas (CO, molecular mass = 44) in a piston-cylinder assembly, initially at p = 100 kPa and T1 = 300 K, undergoes polytropic compression until its final volume is 40% of...

Air in a piston - cylinder device undergoes the following cycle consisting of the following processes: an isothermal compression; 2 ) a constant volume heat addition; 3 ) polytropic expansion; and a...

Problem 7 ( 3 0 points ) Air in a piston - cylinder device undergoes the following cycle consisting of the following processes: an isothermal compression; 2 ) a constant volume heat addition; 3 )...

1 . Carbon dioxide at P 1 and T 1 is contained inside a piston - cylinder. It undergoes polytropic compression according to the process equation PV ^ n = constant. a . Derive the formula for the...

An ideal gas is contained in a piston-cylinder device and undergoes a power cycle as follows: 1-2 isentropic compression from an initial temperature T1 = 20oC with a compression ratio r = 5 2-3...

There are thousands of assets in the world. The S&P 500 portfolio has had an average return of 8% per year over the past hundred years, and a standard deviation of 16%. The risk free rate is 2%....

- Farid [

Let's say you check the exchange rate for EUR / USD at a foreign exchange rate desk, and you see the following quote: 1 . 1 0 5 0 / 1 . 1 0 5 3 . What is the ask price / quote the lowest price a...

A researcher evaluates the effectiveness of an outreach program that varied based on style of presentation (static, dynamic) and engagement (directive, interactive). Which of the following statements...

A large block having the properties of chrome brick at 200C is at a uniform temperature of 30C when it is suddenly exposed to a surface heat flux of 3 104 W/m2. Calculate the temperature at a depth...

A slab of copper having a thickness of 3.0 cm is initially at 300C. It is suddenly exposed to a convection environment on the top surface at 80C while the bottom surface is insulated. In 6 min the...

A large slab of aluminum has a thickness of 10 cm and is initially uniform in temperature at 400C. Suddenly it is exposed to a convection environment at 90C with h = 1400 W/m2 C. How long does it...

6 P Listen Harrison drafts a will that is silent on the matter of trustee powers. He lives in a province where the trustee legislation does not incorporate the prudent investor principle. As a...

please answer all 3! QUESTION 19 You won a small lottery that will pay you $10,000 per year for 20 years. If the first payment wil occur at the end of this year and the appropriate discount rate is...

this is one question.Please attempt to answer all. Thanks 40% Equity ABC Telecom Inc. is expected to generate $140 million in net income over the next year. ABC Telecom Inc.'s stockholders expect it...