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Choose the Best Answer · Q22

Q.In an isothermal reversible compression of an ideal gas the sign of q, ΔS\Delta S and w are respectively

(a) +, –, –
(b) –, +, –
(c) +, –, +
(d) –, –, +
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Step 1. For an ideal gas, ΔU=0\Delta U=0 at constant temperature (internal energy of an ideal gas depends only on TT).

Step 2. Compression means work is done ON the gas, so ww is POSITIVE (Table 7.3).

Step 3. Since ΔU=q+w=0\Delta U=q+w=0, q=−wq=-w, and since w>0w>0, qq must be NEGATIVE -- the gas releases heat to keep its temperature constant while being compressed. …

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