------An ideal gaseous reaction (which is a hypothetical gaseous reaction that c
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Question
------An ideal gaseous reaction (which is a hypothetical gaseous reaction that conforms to the laws governing gas behavior) occurs at a constant pressure of 30.0 atm and releases 75.0 kJ of heat. Before the reaction, the volume of the system was 8.40 L . After the reaction, the volume of the system was 2.20 L .(Calculate the total internal energy change, ?E, in kilojoules.)
Express your answer with the appropriate units.
------An ideal gas (which is is a hypothetical gas that conforms to the laws governing gas behavior) confined to a container with a massless piston at the top.(Figure 2) A massless wire is attached to the piston. When an external pressure of 2.00 atm is applied to the wire, the gas compresses from 5.40 to 2.70 L . When the external pressure is increased to 2.50 atm, the gas further compresses from 2.70 to 2.16 L .
In a separate experiment with the same initial conditions, a pressure of 2.50 atm was applied to the ideal gas, decreasing its volume from 5.40 to 2.16 L in one step.
If the final temperature was the same for both processes, what is the difference between q for the two-step process and q for the one-step process in joules?(Express your answer with the appropriate units)
Vacuum GasExplanation / Answer
1) The process is an isobaric process as it occurs at constant pressure.
Work done = - P(v2-V1) and from first law delta E = Q + W
Given P = 30 atm, V1 = 8.40 L , V2 = 2.2L and Q = -75kJ
Hnece work w = -30 (2.2-8.4) = 186 L.atm = 186 x 101.26 J
=18834.36 J
Delta E = q + w = -75000J + 18834.36 J = -56165.64 J = -56.165kJ
2) For the ideal gas , in isothermal irreversible compresion, w=q as delta E = 0
Thus in two step process w = w1 +w2
W1= -2(2.7 - 5.4 ) L atm = 5.4 L atm = 546.8J
W2 = -2.5 ( 2.16-2.7) = 1.35 L atm = 136.7 J
thus total work done = 683.5 J
heat liberated is -683.5 J
in single step
work done = -2.5 (2.16-5.4) = 8.1Latm = 820.2 J
heat liberated is -820.2 J
The difference in heat produced in the processes is 136.7 J
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