Question

Part A When fuel is burned in a cylinder equipped with a piston, the volume expands from 0.255 L to 1.300 L against an external pressure of 1.01 atm. In addition, 831 J is emitted as heat. What is AE for the burning of the fuel? Express the energy to three significant figures and include the appropriate units. AE = 729 J Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Check that you have used the correct sign for each thermodynamic quantity when calculating the change in internal energy. Note that heat is lost by the system as indicated in the problem details, "831 J is emitted as heat." Provide Feedback

Answer 1

Date / Solutions Given that Volume initial = 0.255€ Volume final = 1.300 L External pressure = 1.01 atm. Heat released - 831J Vinitial = 0.255L Vfinal = 1.300L Pext = 1.01 atm a=-831] heat is (because emitted From 1st Law hermodynamics :- A T 4E=w+q is the total where DE of system. change in internal energy -AT system and its a is the heat exchanged between a Suoraundings, and a w is the work done by or on the suysten we know that w=-Pext AV

Where P is external pressure on the system, and AV is the change in volume W = (-1,01 atm) (Vpince - Vinitiae) = -1.01 at h) (1.3001 – 0. 255L) W = -1.05545 Fatm Work = -1.05545 tath Now we construct a conversion factor relationship between eitre-atm band from the Taules. (L-atm) -1,05545 x 101,325 1 L-ath = (-1.05545 Latm )x 101.32) - 1 Lath - - 106.93 2194 T Now in three significant figure Twork (W) = -107 Joules. so AE = qtw - -831-107 J =-938 Jaules ANS AE=-93 BJ