Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a perfect gas enclosed by an insulated upright cyl

A perfect gas enclosed by an insulated upright cylinder with a weightless piston on top...

90.2K

Verified Solution

Question

Basic Math

image

A perfect gas enclosed by an insulated upright cylinder with a weightless piston on top is at equilibrium conditions p1 V1 and T1 A weight is placed on the piston After a number of oscillations the motion subsides and the gas reaches a new equilibrium at conditions p2 V2 and 72 Find the temperature ratio T2 71 in terms of the pressure ratio p2 p1 a Show that the change in entropy is given by S S Rln 2 S S1 R b Show that if the initial disturbance is small such that 1 where 1 then f 1 y 1 a Y 27 x 1 c Using isentropic relations show that the frequency of small oscillations about the equilibrium position is 178 PA 27 L W d Justify the isentropic assumption in part c using your result from part b How does the result in part c compare with the frequency of a pendulum where is the height of the cylinder and Wis the weight of the mass on the piston

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Several years ago Brant, Inc., sold $960,000 in bonds to the public. Annual cash interest of 9...

Advance Math
Q

A disk of radius a and mass m is suspended at its centre by a vertical...

Physics
Q

Does a media bias exist? If so, is it a liberal or conservative bias? What evidence...

General Management
Q

A convex lens forms a real image on screen placed at distance of 60 cm...

Physics
Q

Figure shows a network of capacitors and resistances in steady state Potentials of some of...

Physics
Q

Two rings of same mass and radius R are placed with their planes perpendicular to...

Physics
Q

Let f(x) = 4/(x + 1)Determine the equation of the tangent line to f...

Calculus
Q

12-14 The following information applies to the questions displayed...

Accounting
Q

Assume that gross profit averages 35% for BITCO. If net sales are $1,500,000, beginning inventory...

Accounting
Q

Condensed financial data are presented below for the Phoenix Corporation: ...

Accounting
Q

Fox, Greg, and Howe are partners with average capital balances during 20X1 of $120,000, $60,000,...

Accounting
Q

Under what circumstances would you take the balloon payment scheme discussed in Table 8.3? accounting...

Finance