Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/d62d65660b7f/2025_11_20_5d1425108ae7999fb5dag-14.jpg) 2003B5. A cylinder with a movable piston contains 0.1 mole of a monatomic ideal gas. The gas, initially at state `

a

`, can be taken through either of two cycles, `

a b c a

` or `

a b c d a

`, as shown on the PV diagram above. The following information is known about this system. `

Q_{c \rightarrow a}=685 \mathrm{~J}

` along the curved path `

W_{c \rightarrow a}=-120 \mathrm{~J}

` along the curved path `

U_{a}-U_{b}=450 \mathrm{~J}

` `

W_{a \rightarrow b \rightarrow c}=75 \mathrm{~J}

` a. Determine the change in internal energy, `

U_{a}-U_{c}

`, between states `

a

` and `

c

`. b. i. Is heat added to or removed from the gas when the gas is taken along the path `

a b c

` ? `\_\_\_` added to the gas `\_\_\_` removed from the gas ii. Calculate the amount added or removed. c. How much work is done on the gas in the process cda? d. Is heat added to or removed from the gas when the gas is taken along the path cda? `\_\_\_` added to the gas `\_\_\_` removed from the gas Explain your reasoning.

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