1. Tardigrade
  2. Question
  3. Chemistry
  4. The molar heat capacity (Cp) of CD2O is 10 cals at 1000 K. The change in entropy associated with cooling of 32 g of CD2O vapour from 1000 K to 100 K at constant pressure will be: (D = deuterium, at. mass = 2 u)

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Q. The molar heat capacity $(C_p)$ of $CD_2O$ is 10 cals at 1000 K. The change in entropy associated with cooling of 32 g of $CD_2O$ vapour from 1000 K to 100 K at constant pressure will be : (D = deuterium, at. mass = 2 u)

JEE MainJEE Main 2014Thermodynamics

Solution:

$\Delta S= _{n}C_{p} \ell n \left(\frac{T_{2}}{T_{1}}\right)$

$=2.303\times n\times c_{p} log \left(\frac{T_{2}}{T_{1}}\right)$

$=2.303\times1\times10 \,log\, \frac{100}{1000}$

$=-23.03 \, cal \, deg^{-1}$