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Question

Chemistry Question on Thermodynamics

At 27ºC27ºC latent heat of fusion of a compound is 2930 J/mol2930\ J/mol. Entropy change is:

A

9.77 J/molK9.77 \ J/molK

B

10.77 J/molK10.77 \ J/molK

C

9.07 J/molK9.07 \ J/molK

D

0.977 J/molK0.977 \ J/molK

Answer

9.77 J/molK9.77 \ J/molK

Explanation

Solution

The entropy change (ΔS)(ΔS) can be calculated using the formula:

ΔS=ΔHTΔS=\frac {ΔH​}{T}

where ΔHΔH is the latent heat of fusion and TT is the temperature in Kelvin.

Given:

Latent heat of fusion (ΔH)=2930 J/mol(ΔH) = 2930 \ J/mol

Temperature (T)=27°C=27+273=300K(T) = 27°C = 27 + 273 = 300 K

Now, put the values:

ΔS=2930 J/mol300KΔS=\frac {2930\ J/mol}{300 K}

ΔS=9.77 J/molKΔS =9.77\ J/molK

So, the correct option is (A): 9.77 J/molK9.77\ J/molK