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Question: The entropy change when two moles of ideal monoatomic gas is heated from 200 to 300<sup>0</sup>C rev...

The entropy change when two moles of ideal monoatomic gas is heated from 200 to 3000C reversibly and isochorically ?

A

32\frac{3}{2}R ln(300200)\left( \frac{300}{200} \right)

B

52\frac{5}{2}R ln(573273)\left( \frac{573}{273} \right)

C

3R ln(573473)\left( \frac{573}{473} \right)

D

32\frac{3}{2} R ln(573473)\left( \frac{573}{473} \right)

Answer

3R ln(573473)\left( \frac{573}{473} \right)

Explanation

Solution

Δ\DeltaSgas = n CV,m ln T2T1\frac{T_{2}}{T_{1}}= 2 × 32\frac{3}{2}R ln 573473\frac{573}{473} = 3R ln (573473)\left( \frac{573}{473} \right) .