Seema Saini Solutions for Chapter: Thermodynamics, Exercise 6: DPP 5.6

$4 \mathrm{kg}$ of ice at $-20°\mathrm{C}$ is mixed with $10 \mathrm{kg}$ of water at $20°\mathrm{C}$ in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. Given: Specific heat capacities of water and ice are $4.184 \mathrm{kJ} {\mathrm{K}}^{-1} {\mathrm{kg}}^{-1}$ and $2.092 \mathrm{kJ} {\mathrm{K}}^{-1} {\mathrm{kg}}^{-1}$, respectively. Enthalpy of fusion of ice is $334.7 \mathrm{kJ} {\mathrm{kg}}^{-1}$.

Ice-Water mass ratio is maintained as $1:1$ in a given system containing water in equilibrium with ice at constant pressure. If ${\mathrm{C}}_{\mathrm{P}}\left(\text{ice}\right)={\mathrm{C}}_{\mathrm{P}}\left(\text{water}\right)=4.18 {\mathrm{Jmol}}^{-1}{\mathrm{K}}^{-1}$, What is the molar heat capacity of such a system?

A piece of zinc at a temperature of $20°\mathrm{C}$ weighing $65.38 \mathrm{g}$ is dropped into $180 \mathrm{g}$ of boiling water $\left(\mathrm{T}=100°\mathrm{C}\right)$. The specific heat of zinc is $0.4 \mathrm{J} {\mathrm{g}}^{-1}°{\mathrm{C}}^{-1}$ and that of water is $4.2 \mathrm{J} {\mathrm{g}}^{-1\circ }{\mathrm{C}}^{-1}$. What is the final common temperature reached by both the zinc and water?

In Haber's process of manufacturing of ammonia:

${\mathrm{N}}_2\left(\mathrm{g}\right)+3{\mathrm{H}}_2\left(\mathrm{g}\right)\to 2{\mathrm{NH}}_3\left(\mathrm{g}\right); ∆{\mathrm{H}}_{25°\mathrm{C}}=-92.2 \mathrm{kJ}$

If ${\mathrm{C}}_{\mathrm{P}}$ is independent of temperature, then reaction at $100 °\mathrm{C}$ as compared to that of $25 °\mathrm{C}$ will be:

The heat of formation of $\mathrm{HCl}$ at $348 \mathrm{K}$ from the following data will be:

$\frac{1}{2}{\mathrm{H}}_2\left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{Cl}}_2\left(\mathrm{g}\right)\to \mathrm{HCl}\left(\mathrm{g}\right); {\mathrm{\Delta }}_{\mathrm{r}}{\mathrm{H}}_{298}=-22060 \mathrm{cal}$

The mean heat capacities over this temperature range are:

${\mathrm{H}}_2\left(\mathrm{g}\right), {\mathrm{C}}_{\mathrm{P}}=6.82 \mathrm{cal} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}; {\mathrm{Cl}}_2\left(\mathrm{g}\right), {\mathrm{C}}_{\mathrm{P}}=7.71 \mathrm{cal} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1};$ $\mathrm{HCl}\left(\mathrm{g}\right), {\mathrm{C}}_{\mathrm{P}}=6.81 \mathrm{cal} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}$

Which of the following relationships are correct?

Which of the following statements are correct?

The Poisson's ratio for ${\mathrm{O}}_2$ is $1.4$. Which of the following is/are correct for ${\mathrm{O}}_2$?