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Part B An ideal gaseous reaction (which is a hypothetical gaseous reaction that

ID: 539011 • Letter: P

Question

Part B

An ideal gaseous reaction (which is a hypothetical gaseous reaction that conforms to the laws governing gas behavior) occurs at a constant pressure of 35.0 atm and releases 71.5 kJ of heat. Before the reaction, the volume of the system was 7.40 L . After the reaction, the volume of the system was 2.00 L .

Calculate the total internal energy change, E, in kilojoules.

Express your answer with the appropriate units.

Hints

Correct

Part C

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 5.90 to 2.95 L . When the external pressure is increased to 2.50 atm, the gas further compresses from 2.95 to 2.36 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 5.90 to 2.36 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.

E = -52.4 kJ

Explanation / Answer

  q for the two-step process = P1*V1 + P2*V2

= 2.00(5.90-2.95) Latm + 2.50(2.95-2.36) Latm

= 7.375 Latm = 7.375 Latm * 101.325 J/Latm = 747.27 J.

q for the one-step process = PV = 2.50(5.9-2.36) Latm * 101.325 J/Latm

= 896.72 J.

Hence q for the one-step process is greater by (896.72 - 747.27 ) = 149.45 J.