Embibe Experts Solutions for Chapter: Thermodynamics, Exercise 2: EXERCISE-2

For the which of the following reactions. $∆S$ will the maximum:

The entropy change when two moles of ideal monoatomic gas is heated from $200$ to $300°\mathrm{C}$ reversibly and isochorically?

When two equal sized pieces of the same metal at different temperatures ${\mathrm{T}}_{\mathrm{h}}$ (hot piece) and ${\mathrm{T}}_{\mathrm{c}}$ (cold piece) are brought into contact into thermal contact and isolated from its surrounding. The total change in entropy of system is given by? $\left[{\mathrm{C}}_{\mathrm{v}}\left(\mathrm{J}/\mathrm{K}\right)=\mathrm{heat} \mathrm{capacity} \mathrm{of} \mathrm{metal}\right]$

What can be concluded about the value of $∆\mathrm{H}$ and $∆\mathrm{S}$ from this graph?

For which of the following processes, total entropy of universe increases.

$1$ mole of an ideal gas at $25°\mathrm{C}$ is subjected to expand reversibly ten times of its initial volume. The change in entropy due to expansion is:

Chemist's seemingly insatiable need to measure heat has led to a broad spectrum of measurement methods. A special calorimeter is the ice calorimeter, in which the heat released in an exothermic reaction is trapped in an ice-water mixture at $273 \mathrm{K}$, causing ice to melt which result in contraction of volume. A student employs this method to determine the heat of combustion of methanol. He finds that when a sample of methanol weighing $0.320 \mathrm{g}$ is burnt in excess oxygen in an ice calorimeter at constant volume and $273 \mathrm{K}$, according to the reaction,

$2{\mathrm{CH}}_3\mathrm{OH}\left(\mathrm{l}\right)+3{\mathrm{O}}_2\left(\mathrm{g}\right)\to 2{\mathrm{CO}}_2\left(\mathrm{g}\right)+4{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)$

the volume of ice and water surrounding the sample decreases by $1.82 \mathrm{ml}$.

Given: specific volume of ice $=1.091 \mathrm{ml}/\mathrm{gm}$, specific volume of ${\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)=1 \mathrm{ml}/\mathrm{gm}$, $∆{\mathrm{H}}_{\mathrm{fusion}}$ of ice $=340 \mathrm{J}/\mathrm{gm}, \mathrm{R}=8 \mathrm{J}/\mathrm{mol}/\mathrm{K}$

Select the correct option(s)

Aluminium and ${\mathrm{Fe}}_2{\mathrm{O}}_3$ is used as fuel to produce energy according to given reaction.

$2\mathrm{Al}\left(\mathrm{s}\right)+{\mathrm{Fe}}_2{\mathrm{O}}_3\left(\mathrm{s}\right)\to {\mathrm{Al}}_2{\mathrm{O}}_3\left(\mathrm{s}\right)+2\mathrm{Fe}\left(\mathrm{s}\right)$

Given: ${\left({∆}_{\mathrm{f}}\mathrm{H}°\right)}_{{\mathrm{Al}}_2{\mathrm{O}}_3}=-100 \mathrm{kcal}/\mathrm{mol}$

${\left({∆}_{\mathrm{f}}\mathrm{H}°\right)}_{{\mathrm{Fe}}_2{\mathrm{O}}_3}=-50 \mathrm{kcal}/\mathrm{mol}$

Density of aluminium $=2.7 \mathrm{gm}/\mathrm{cc}$

Density of ${\mathrm{Fe}}_2{\mathrm{O}}_3=3.2 \mathrm{gm}/\mathrm{cc}$

Select the correct statement(s).