METEO 300 Lecture Notes - Lecture 17: Ideal Gas Law, Os T1000, Specific Volume

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4 Jan 2018

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Me 300 - lecture 17 - energy conservation for a system continued. A simple engine uses an ideal gas as the working fluid in a piston-cylinder system. Calculate the cycle efficiency (net work output/energy input as heat). Assumptions: ideal gas law applies, = = 0. 1[]2 = [2 1] = 0. 2: [1. 148 0. 435] = 142. 6 kj. 2[]3 = [3 2] = 0. 2: [1. 148 1. 148] = 0 kj. 1[ ]2 =[2 1] = 714 [800 300] = 357 kj. 2[ ]3 =[3 2] = 714 [300 800] = 357 kj. 3[ ]1 =[1 3] = 714 [300 300] = 0 kj. 1[]2 = 1[ ]2 1[]2 = 357 ( 142. 6 ) = 499. 6 kj. 2[]3 = 2[ ]3 2[]3 = 357 0 = 357 kj. 3[]1 = 3[ ]1 3[]1 = 0 84. 67 = 84. 67 kj. * is equal to the negative of .

Related Questions

A cylinder contains oxygen gas O2 at a pressure of2.20 atm. The volume is 6.00 L, and thetemperature is 300 K. Assume that the oxygen may betreated as an ideal gas. The oxygen is carried through thefollowing processes:
(1) Heated at constant pressure from the initial state (state 1) tostate 2, which has 460 K.
(2) Cooled at constant volume to 250 K (state3).
(3) Compressed at constant temperature to a volume of6.00 L (state 4).
(4) Heated at constant volume to 300 K, which takesthe system back to state 1.

Calculate Q for each of the four processes (in J). Theprocesses are Q1->2, Q2->3, Q3->4, Q 4->1.

Calculate W for each of the four processes (in J).

Calculate the net work done by the oxygen (in J).

What is the efficiency of this device as a heat engine (inJ)?

1. An ideal gas is used as theworksubstance for a heat engine cycle shown intheTemperature-versus-Volume diagram. The gas iscompressedadiabatically from 6.40 l at C to 3.90l at A.The gas then expands isothermally at 250 K while itdoes externalwork between A to B. The gas is then cooled at aconstant volumebetween B and C. If there is 9.80 moles of idealdiatomic gas forwhich c_v = 5/2 R and c_p =7/2R:

(A)Sketch this cyclic process on a P-versus-V diagram, anddeterminethe gas' pressure at the point A, B, and C. Also,determine thelowest temperature that the gas reaches.
(B)Calculate the heat flow during all portion of the cycle, andthenet heat absorbed by the engine
(C)Calculate the external work done by the engine during theABportion of the cycle and the work done on the gas to compressitadiabatically from C back to its pressure and temperature A.Whatis the net work done the engine eachcycle? (D)Calculate the thermal efficiency of this heat engine and themaximumpossible efficiency that a heat engine could have thatoperatedbetween the highest and lowest operating temperature ofthisengine.
(E)Finally, determine if this engine is a reversible enginebycalculating the net change in entropy of the working gasthroughoutone cycle.

A 2.00 mo sample of an ideal as initiallyat350 K and 1.50 atm is cooled at constant pressure until itsvolumeis 35.0 liters. During this process, the gas looses 1256 Jasheat.

Calculate:

1) The initial volume of the gas.

2) The final temperature of the gas.

3) The work done during the process.

4) The change in internal energy of the gas

5) The change in enthalpy of the gas

6) Cp for the gas

METEO 300 Lecture Notes - Lecture 17: Ideal Gas Law, Os T1000, Specific Volume

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