Prove that the coefficient of volume expansion for an ideal gas is ideal gas = 1/T.

Question:

Prove that the coefficient of volume expansion for an ideal gas is β_{ideal gas} = 1/T.

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

Step by Step Answer:

Related Book For book-img-for-question

Fluid Mechanics Fundamentals And Applications

ISBN: 9781259696534

4th Edition

Authors: Yunus Cengel, John Cimbala

See More Books

Question Posted: Sep 14, 2023 02:44 PM

See More Questions

(a) Use the equation of state for an ideal gas and the definition of the coefficient of volume expansion, in the form = (1/V) dV/dT, to show that the coefficient of volume expansion for an ideal gas...
Thermal Expansion of an Ideal Gas (a) The pressure p, volume V, number of moles n, and Kelvin temperature T of an ideal gas are related by the equation p V = nRT, where R is a constant. Prove that...
Consider the expansion of an ideal gas at constant pressure. The initial temperature is T0 and the initial volume is V 0 . (a) Show that V/V 0 = T, where = 1/T 0 . (b) Compare the coefficient of...
(a) Find the acceleration at time t = 5 min of a helicopter whose height is s(t) = 300t 4t 3 m. (b) Plot the acceleration s" for 0 t 6. How does this graph show that the helicopter is slowing down...
A rocket of mass 4.50 105 kg is in flight. Its thrust is directed at an angle of 55.00 above the horizontal and has a magnitude of 7.50 106 N. Find the magnitude and direction of the rockets...
Metcalf Electronics product development department was in the process of devel- oping a new model for its cellular phone line. The product life cycle is estimated at 27 months. Estimated sales over...
In cost-plus contracts, the contractor runs a risk of incurring a loss.
A local finance company quotes a 17 percent interest rate on one-year loans. So, if you borrow $25,000, the interest for the year will be $4,250. Because you must repay a total of $29,250 in one...
7. What does conversion cost consist of? A. Manufacturing overhead cost. B. Direct materials and direct labour cost. C. Direct labour cost. D. Direct labour and manufacturing overhead cost
8 91426 10 11 (CCM) builds furniture for a range of commercial customers. They build furniture used in hotels and department stores, on cruise liners, ferries and passenger aircraft. One of their...
A frictionless piston-cylinder device contains 10 kg of water at 20C at atmospheric pressure. An external force F is then applied on the piston until the pressure inside the cylinder increases to 100...
The ideal gas equation of state is very simple, but its range of applicability is limited. A more accurate but complicated equation is the Van der Waals equation of state given by where a and b are...
The aluminum strut is 10 mm thick and has the cross section shown. If it is subjected to a shear of V = 150 N, determine the shear flow at points A and B. 10 mm 40 mm 10 mm t+-40 mm- 30 mm 30 mm 10...
The file NFL2012data.xlsx contains scores of all the NFL 2012 regular-season games. Rate the teams. Even though the Colts were 106, your ratings have the Colts as well below the average team. Can you...
A certain company reorders envelopes when its stock drops to 12 boxes, although demand for envelopes during lead time is normally distributed with a mean of 10 boxes and a standard deviation of 3...
Indicate the uses of budgeting and construct various budgets, including the cash budget, from relevant data.
Complete the double entry for each of the following transactions: a The owner of a business pays additional capital to the company; the cash account is debited and it is credited to the __________. b...
The file named Worldball.xlsx contains all the scores from the 2006 World Basketball Championships. Rate the teams. Who were the best three teams?
Kang Ltd. had the following opening account balances at July 31: Cash $4,000; Accounts Receivable $2,000; Equipment $2,500; Accounts Payable $1,500; Common Shares $2,000; and Retained Earnings...
Respond to the ethical judgments required based on the following scenarios. Scenario 1. Assume you have collected a sample using MUS and that you have evaluated that sample to calculate a total...
Write a computer program to find the bandwidth of a lowpass energy signal that contains a certain specified percentage of its total energy, for example, 95%. In other words, write a program to find
(a) Show that the function Î´ Îµ (t) sketched in Figure 2.4(b) has unity area. Figure 2.4 (b) (b) Show that Î´ Îµ (t) = e -1 e -t/Îµ u(t)...
Sketch the single-sided and double-sided amplitude and phase spectra of (a) x 1 (t) = 5 cos (12t - /6) (b) x 2 (t) = 3 sin(12t) + 4 cos (16t) (c) x 3 (t) = 4 cos (8t) cos (12t) (d) x 4 (t) = 8 sin...
Your company produces a health magazine. Its sales data for 1 - year subscriptions are as follows: Year of Operation Subscriptions Sold % Expired at Year End 2 0 2 0 $ 3 0 0 , 0 0 0 5 0 2 0 2 1 $ 6 4...
The adjusted trial balance for Tybalt Construction on December 3 1 of the current year follows. TYBALT CONSTRUCTION Adjusted Trial Balance December 3 1 Number Account Title Debit Credit 1 0 1 Cash $...
( US$ millions ) 1 2 / 3 1 / 2 0 1 4 1 2 / 3 1 / 2 0 1 3 1 2 / 3 1 / 2 0 1 2 1 2 / 3 1 / 2 0 1 1 Net income $ 1 4 , 4 3 1 $ 1 2 , 8 5 5 $ 1 0 , 7 7 3 $ 9 , 7 7 2 Depreciation 3 , 5 4 4 2 , 7 0 9 1 ,...

Prove that the coefficient of volume expansion for an ideal gas is ideal gas = 1/T.

Question:

Step by Step Answer:

To prove that the coefficient of volume expansion for an ideal gas is ideal gas 1T we can use the ideal gas law and the definition of the coefficient ...View the full answer

Fluid Mechanics Fundamentals And Applications

Students also viewed these Engineering questions