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When two mole of an ideal gas \( \left(\mathrm{C}_{\mathrm{p}, \mathrm{m}}=\frac{5}{2} \mathrm{R}\right) \) heated
\( \mathrm{P} \)
W from \( 300 \mathrm{~K} \) to \( 600 \mathrm{~K} \) at constant pressure. The change in entropy of gas \( (\Delta \mathrm{S}) \) is:
(1) \( \frac{3}{2} R \ln 2 \)
(2) \( -\frac{3}{2} \mathrm{R} \ln 2 \)
(3) \( 5 \mathrm{R} \ln 2 \)
(4) \( \frac{5}{2} \mathrm{R} \ln 2 \)
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