Question

The standard molar entropy of an ideal
gas (y = ) is 2.5 Cal/k – mol at 3
25°C and 1bar. The standard molar entropy of the gas at 323°C and 1 bar is (In2 = 0.7)

Answer 1

Answer:

The standard molar entropy of an ideal

gas (y = ) is 2.5 Cal/k – mol at 3

25°C and 1bar. The standard molar entropy of the gas at 323°C and 1 bar is (In2 = 0.7)

Explanation:

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Answer 2

Given:

Standard molar entropy = 2.5 cal/K at 25°C and 1 bar

To find:

The standard molar entropy of the gas at 323°C and 1 bar.

Solution:

ΔS = Cv ln T2/T1 + R ln V2/V1

And Cp = Cv + R and we know that Cp/Cv = R = 4/3

So, Cp = 4R

Cv = 3R

As the pressure has not changed, so V1 T1 = V2 T2

Putting the values of Cv, we get:

So, ΔS = 4 ln2

S at 323°C - S at 25°C = 4 ln2

S at 323°C = S at 25°C + 4 ln2

S at 323°C = 2.5 + 4*0.7

S at 323°C = 5.3 cal/K

Therefore, the standard molar entropy of the gas at 323°C and 1 bar is 5.3 cal/K.