Chemical Thermodynamics MCQ Questions & Answers in Physical Chemistry | Chemistry
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91.
The heats of combustion of carbon and carbon monoxide are $$-393.5$$ and $$ - 283.5\,kJ\,mo{l^{ - 1}}, $$ respectively. The heat of formation ( in $$kJ$$ ) of carbon monoxide per mole is :
A
-676.5
B
-110.5
C
110.5
D
676.5
Answer :
-110.5
$${\text{Given}}$$
$$C\left( s \right) + {O_2}\left( g \right) \to C{O_2}\left( g \right);$$ $$\Delta H = - 393.5\,kJ\,mo{l^{ - 1}}...({\text{i}})$$
$$CO\left( g \right) + \frac{1}{2}{O_2}\left( g \right) \to C{O_2}\left( g \right);$$ $$\Delta H = - 283.5\,kJ\,mo{l^{ - 1}}...({\text{ii}})$$
$$\therefore \,\,{\text{Heat of formation of }}CO{\text{ = }}$$ $${\text{eqn (i) }} - {\text{ eqn (ii)}}$$
$${\text{ = }} - 393.5 - \left( { - 283.5} \right)$$
$$ = - 110\,kJ$$
92.
One mole of an ideal gas at $$300\,K$$ is expanded isothermally from an initial volume of $$1\,litre$$ to $$10\,litre.$$ The $$\Delta E$$ for this process is $$\left( {R = 2\,cal\,mo{l^{ - 1}}{K^{ - 1}}} \right)$$
A
$$163.7\,cal$$
B
$$zero$$
C
$$1381.1\,cal$$
D
$$9\,lit\,atm$$
Answer :
$$zero$$
For a finite change $$\Delta E = {C_v}\Delta T.$$ For an isothermal process $$\Delta T = 0.$$ Hence $$\Delta E = 0$$
93.
For the reaction, $${N_2} + 3{H_2} \rightleftharpoons 2N{H_3},\,\Delta H = ?$$
94.
The entropy of a sample of a certain substance increases by $$0.836\,J\,{K^{ - 1}}$$ on adding reversibly $$0.3344\,J$$ of heat at constant temperature. The temperature of the sample is :
95.
Which of the following pairs of a chemical reaction is certain to result in a spontaneous reaction?
A
Exothermic and decreasing disorder
B
Endothermic and increasing disorder
C
Exothermic and increasing disorder
D
Endothermic and decreasing disorder
Answer :
Exothermic and increasing disorder
If reaction is exothermic, therefore $$\Delta H$$ is negative and on increasing disorder, $$\Delta S$$ is positive thus, at these condition, $$\Delta G$$ is negative according to following equation.
$$\Delta G = \Delta H - T\Delta S$$
$$\Delta G = $$ negative, and for spontaneous reaction $$\Delta G$$ must be negative.
96.
Consider the reactions given below. On the basis of these reactions find out which of the algebraic relations given in options (A) to (D) is correct ?
$$\left( {\text{i}} \right){C_{\left( g \right)}} + 4{H_{\left( g \right)}} \to C{H_{4\left( g \right)}};$$ $${\Delta _r}H = x\,kJ\,mo{l^{ - 1}}$$
$$\left( {{\text{ii}}} \right){C_{\left( {{\text{graphite}},s} \right)}} + 2{H_{2\left( g \right)}} \to C{H_{4\left( g \right)}};$$ $${\Delta _r}H = y\,kJ\,mo{l^{ - 1}}$$
A
$$x = y$$
B
$$x = 2y$$
C
$$x > y$$
D
$$x < y$$
Answer :
$$x > y$$
In eqn (i), no bond is being broken while in eqn (ii), $$2\,\,H - H$$ bonds are broken. So, in eqn (ii) some of the energy is used up to break the bonds. Thus, $$x > y.$$
97.
Calculate the heat produced ( in $$kJ$$ ) when $$224\,g$$ of $$CaO$$ is completely converted to $$CaC{O_3}$$ by reaction with $$C{O_2}$$ at $${27^ \circ }C$$ in a container of fixed volume.
Given : $$\Delta H_f^ \circ \left( {CaC{O_3},s} \right) = - 1207\,kJ/mol;$$ $$\Delta H_f^ \circ \left( {CaO,s} \right) = - 635\,kJ/mol,$$ $$\Delta H_f^ \circ \left( {C{O_2}g} \right) = - 394\,kJ/mol;$$ $$\left[ {{\text{Use}}\,R = 8.3\,J{K^{ - 1}}\,mo{l^{ - 1}}} \right]$$
98.
One mole of solid iron was vaporized in an oven at its boiling point of $$3443\,K$$ and enthalpy of vaporization of iron is $$344.3\,kJ\,mo{l^{ - 1}}.$$ The value of entropy vaporization $$\left( {{\text{in}}\,J\,mo{l^{ - 1}}} \right)$$ of iron is
99.
The free energy change for the following reactions are given below,
$${C_2}{H_2}\left( g \right) + \frac{5}{2}{O_2}\left( g \right) \to $$ $$2C{O_2}\left( g \right) + {H_2}O\left( l \right);$$ $$\Delta {G^ \circ } = - 1234kJ$$
$$C\left( s \right) + {O_2}\left( g \right) \to C{O_2}\left( g \right);$$ $$\Delta {G^ \circ } = - 394kJ$$
$${H_2}\left( g \right) + \frac{1}{2}{O_2}\left( g \right) \to {H_2}O\left( l \right);$$ $$\Delta {G^ \circ } = - 237kJ$$
What is the standard free energy change for the reaction $${H_2}\left( g \right) + 2C\left( s \right) \to {C_2}{H_2}\left( g \right)$$
A
- 209$$\,kJ$$
B
- 2259$$\,kJ$$
C
+ 2259$$\,kJ$$
D
209$$\,kJ$$
Answer :
209$$\,kJ$$
$${\text{By}}\,\,2 \times \left( {{\text{ii}}} \right){\text{ - }}\left( {\text{i}} \right){\text{ + }}\left( {{\text{iii}}} \right)$$
$${H_2}\left( g \right) + 2C\left( s \right) \to $$ $${C_2}{H_2}\left( g \right),\Delta {G^ \circ } = 209\,kJ$$
100.
A cyclic process $$ABCD$$ is shown in $$P–V$$ diagram for an ideal gas. Which of the following diagram represents the same process?