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The expression for entropy change, ΔS = nCp.ln$$\left( {\frac{{{{\text{T}}_2}}}{{{{\text{T}}_1}}}} \right),$$ is valid for the __________ of a substance.
Answer & Solution
Correct Answer:
Option
D
Actually the Entropy of an ideal gas is given by:
$$\Delta S = \int_{{T_i}}^{{T_f}} {} \frac{{{C_p}dT}}{T} - nR\ln \left( {\frac{{{P_f}}}{{{P_i}}}} \right).$$
$$ \Rightarrow $$ it depends upon both temperature and pressure.
Under constant pressure process we can write $$\Delta S = {C_p}.\ln \left( {\frac{{{T_f}}}{{{T_i}}}} \right).$$ The final temperature can be greater or lesser than the initial temperature.
$$\Delta S = \int_{{T_i}}^{{T_f}} {} \frac{{{C_p}dT}}{T} - nR\ln \left( {\frac{{{P_f}}}{{{P_i}}}} \right).$$
$$ \Rightarrow $$ it depends upon both temperature and pressure.
Under constant pressure process we can write $$\Delta S = {C_p}.\ln \left( {\frac{{{T_f}}}{{{T_i}}}} \right).$$ The final temperature can be greater or lesser than the initial temperature.
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