First slide

3rd law of thermo dynamics

Question

The entropy value at temperature T is

Easy

A

$\large S = \int\limits_o^T {{C_p}.dT} \$
B

$S = \int\limits_o^T {{C_p}.TdT}$
C

$S = \int\limits_o^T {\frac{{{C_p}}}{T}.dT}$
D

$S = \int\limits_o^T {{C_p}.{T^3}dT}$

Solution

$\Delta S=S-S_0=\int _0^T\frac{C_pdT}{T}$
where S= entropy at Temperature 'TK'
S₀ = entropy at Temperature '0K'
According to 3^rd law , At 0K S₀ = 0
$S=\int _0^T\frac{C_pdT}{T}$

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