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101.

If 100 calorie of heat are added to the same system as in example 1 and a work of 50 calorie is done on the system, calculate the energy change of the system.

Answer» Heat absorbed q=100cal
Work done on the system, `w=+50cal` ltBrgt Applying the first law of thermodynamics,
`DeltaD=q+w=(100+50)=150`calorie
In the above examples, the final state is same but the paths adopted are different. Thus, the change in energy of the system depends onthe intial and finial states but does not depend on the path by which the final state has reached, q and w are, therefore, not state functions but `DeltaU` is a state functions.
102.

If 500 calorie of heat energy are added to a system and the system does 350 calorie of work on the surroundings, what is the energy change of the system?

Answer» Heat absorbed, q=500cal
Work done on the system `w=+50cal`
Applying the first law of htermodynamics
`DeltaU=q+w=(100+50)=150` calorie
In the above two examples, the final state is same but the paths adopted are different. Thus, the change in energy of the system depends on the initial and final states but does not depend on the path by which the final state has reached, q and w are , therefore, not state functions but `DeltaU` is a state functins.
103.

For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant Kin terms of change in entropy is described byA. With increase in temperature, the value of K for exothermic reaction decreases because the entropy change of the system is positive.B. With increase in temperature, the value of K for endothemic reaction increases because unfavourable change in entropy of the surrounding decreasesC. With increases in temperature, the value of K for exothermic reaction decreases because because favourable change in entropy of the surroundings decreasesD. With increases in temperature, the value of K for endothemic reaction increases because the entropy change of the system negative.

Answer» Correct Answer - B::C
For endothermic reactions: `DeltaH=+ve` therefore, equilibrium constant increases with temperature.
`log((K_(1))/(K_(2)))=(DeltaH)/(2.303R)[(1)/(T_(1))-(1)/(T_(2))]`
`DeltaS_(surr)=-(q_("system"))/(T)`
`DeltaS_(surr) lt `0 for endothermic process thus decrease in entropy of surroudings is unfavourable. For exothermic reaction, equilibrium constant will decreases with rise in temperature `DeltaS_(surr) lt0` (for exothermic process which is favourable for surroundings).
104.

Entropy of vaporisation of water at `100^(@)C`, if molar heat of vaporisation is `9710 cal mol^(-1)` will beA. `20 cal mol^(-1)K^(-1)`B. `26 cal mol^(-1)K^(-1)`C. `24 cal mol^(-1)K^(-1)`D. `28 cal mol^(-1)K^(-1)`

Answer» Correct Answer - D
`DeltaS_(vap)=DeltaH_(vap)//T_(b)=9710//373`
`=26.032 cal K^(-1) mol^(-1)`
105.

A gas expands from `3 dm^(3)` to `5 dm^(3)` against a constant pressure of 3 atm. The work done during expansion is used to heat 10 mol of water at a temperature of 290 K. Calculate final temperature of water. Specific heat of water `=4.184 J g^(-1)K^(-1)`

Answer» Work done `=PxxdV=3.0xx(5.0-3.0)`
`=6.0litre-atm=6.0xx101.3J`
`=607.8J` ltBrgt let `DeltaT` be the change in temperature
Heat absorbed `=mxxsxxDeltaT`
`=10.0xx18xx4.184xxDeltaT`
Given, `PxxdV=mxxsxxDeltaT`
or `DeltaT=(PxxdV)/(mxxs)=(607.8)/(10.0xx18.0xx4.184)=0.807`
Final temperature `=290+0.807=290.807K`
106.

A sample of a gas contracts `200cm^(3)` by an average of .5 atmosphere while 8.5 J heat flows out into the surroundings what is the change in energy of the system? (1 litre-atm=101.3J)

Answer» Energy of the system increases by 1.63J
107.

A chemical process is carried out in a thermostat maintained at `25^(@)C`.The process may be termed asA. isobaric processB. isoentropic processC. adiabatic processD. isothermal process.

Answer» Correct Answer - D
Because the temperature is constant.
108.

An isolated system comprises the liquid in equilibrium with vapours. At this stage, the molar entropy of the vapour isA. less than that of liquidB. more than that of liquidC. equal to zeroD. equal to that of liquid

Answer» Correct Answer - D
In isolated systems at equilibrium `DeltaS=0`.
i.e., `(S_(P)-S_(R ))=0` , `S_(P)=S_(R )`
109.

A sample of a gas expands from `200cm^(3)` to `500cm^(3)` against an average pressure of 750 torr while 1.5 J heat flows into the system. What is the change in energy of the system? (1 litre-atm=101.3J)

Answer» Energy of the system is decreased by 28.5 J, `DeltaE=-28.5J`
110.

A cup of tea placed in the room eventually acquires a room temperature by losing heat. The process may be considered close toA. Cyclic processB. Reversible processC. Isothermal processD. None of these

Answer» Correct Answer - B
Question based on facts/definitions
111.

When a solid changes into liquid, the entropyA. becomes zeroB. becomes minimumC. increasesD. remains constant

Answer» Correct Answer - C
Because in liquids, molecules have greater randomness.
112.

Calculate the pressure-volume work by the system when the gas expands from 1.0 litre to 2.0 litre against a constant external pressure of 10 atmospheres. Express the answer in calorie and joule.

Answer» `-10` litre-atm, -242.2 cal, -1013.28J
113.

Energy changes accompanying the chemical reactions can take placeA. in the form of heat onlyB. in the form of heat as well as light onlyC. in the form of light onlyD. in any form depending upon the nature of the system.

Answer» Correct Answer - D
Question based on facts/definitions
114.

A gas expands from a volume of `1m^(3)` to a volume of `2m^(3)` against an external pressure of `10^(5)Nm^(-2)`. The work done of the gas will beA. `10^(5)kJ`B. `10^(2)kJ`C. `10^(2)J`D. `10^(3)J`

Answer» Correct Answer - B
`W=PDeltaV=-10^(5)Nm^(-2)xx(2-1)m^(-2)`
`=10^(5)Nm=10^(5)J=10^(2)kJ`.
115.

In endothermic reactionsA. the heat is given to surroundingsB. `DeltaH=-ve`C. `DeltaH=+ve`D. `H_(R) gt H_(P)`

Answer» Correct Answer - C
For endothermic reactions, heat is absorbed.
`DeltaH=+ve` [`:. H_(P) gt H_(R )`]
116.

An ideal gas expands from `10^(-3) m^(3)` to `10^(-2) m^(3)` at 300 K against a constant pressure of `10^(5) Nm^(-2)`. The workdone isA. `900KJ`B. `-900KJ`C. `270KJ`D. `-900J`

Answer» Correct Answer - A
Work done during expansion (or by the system)
`=-PxxDeltaV=-1xx10^(5)[10^(-2)-10^(-3)]`
`=-1xx10^(5)xx9xx10^(-3)=-900J`
117.

An ideal gas expands from `10^(-3) m^(3)` to `10^(-2) m^(3)` at 300 K against a constant pressure of `10^(5) Nm^(-2)`. The workdone isA. `-0.9 kJ`B. `-900 kJ`C. `270 kJ`D. `-270 kJ`

Answer» Correct Answer - A
`W=-PDeltaV`
`P=10^(5)Nm^(-2)=1"atm"`,
`DeltaV=10-1=9 "Litres"[1m^(3)=10^(3)L]`
`W=-(1xx9xx101)/(1000)[1 L-"atom"=101 J]`
`=0.9 kJ`
118.

The heat absorbed in a reaction at constant temperature and constant volume isA. `DeltaE`B. `DeltaH`C. `-DeltaA`D. `-DeltaG`

Answer» Correct Answer - A
`q_(v)=DeltaE`, at constant temperature.
119.

What per cent `T_(1)` is of `T_(2)` for a heat engine whose efficiency is `10%`A. `92%`B. `10%`C. `90%`D. `100%`

Answer» Correct Answer - C
`eta=1-(T_(1))/(T_(2))`
`(T_(1))/(T_(2))=1-eta=1-0.10=0.90=90%`
`T_(1)=90% T_(2)`
120.

One mole of an ideal gas at `300K` is expanded isothermally from an inital volume of 1 litre to 10 litres. The `DeltaE` for this process is `(R=2cal mol^(-1)K^(-1))`A. `163.7 cal`B. `1381.1 cal`C. `9` lt atmD. zero

Answer» Correct Answer - D
For isothermal process `dT=0`, thus `DeltaE=0`.
121.

A gas expands isothermally and reversibly. The work done by the gas isA. ZeroB. MaximumC. MinimumD. Cannot be determined

Answer» Correct Answer - B
Work done during isothermal reversible expansion of a gas is maximum.
122.

One mole of an ideal gas at `300K` is expanded isothermally from an inital volume of 1 letre to 10 litres. The `DeltaE` for this process is `(R=2cal mol^(-1)K^(-1))`A. `163.7cal`B. zeroC. `138.1cal`D. `9L` atm

Answer» Correct Answer - D
For isothermal process `DeltaE=0` because `DeltaT=0`
123.

The work done by the system in a cyclic process involving one mole of an ideal monoatomic gas is `-50 kJ//cycle`. The heat absorbed by the system per cycle isA. ZeroB. `50 kJ`C. `-50 kJ`D. `250 kJ`

Answer» Correct Answer - B
For a cyclic process, the work done is equal to heat absorbed
`q=DeltaE-W`
`:. DeltaE=0`
Thus, `q=-W=50 kJ`
124.

The maximum efficiency of a steam engine operating between `110^(@)C` and `25^(@)C`A. `20%`B. `22.2%`C. `25%`D. `30%`

Answer» Correct Answer - B
`eta=(T_(2)-T_(1))/(T_(2))=(383-298)/(383)=0.222`
or `eta=22.2%`
125.

Work done on a system when one mole of an an ideal gas at 500 K is compressed isothermally and reversibly to 1/10th of its original volume. (R = 2cal)A. `500 kcal`B. `1.51 kcal`C. `-23.03 kcal`D. `2.303 kcal`

Answer» Correct Answer - D
`W=-2.303 nRT log (V_(2))/(V_(1))`
`=-2.303xx1xx2xx500 log (1)/(10)`
`=(-2.303xx1000xlog10^(-1))/(1000)kJ`
`=+2.303 kJ`
126.

A gas is allowed to expand at constant temperature from a volume of `1.0 L` to `10.0 L` against an external pressure of `0.50` atm. If the gas absorbs `250 J` of heat from the surroundings, what are the values of `q` and `DeltaE` ? (Given `1 L "atm" =101 J`)A. `{:(q,w,DeltaE),(250J,-455J,-205J):}`B. `{:(q,w,DeltaE),(-250J,-455J,-710J):}`C. `{:(q,w,DeltaE),(250J,455J,710J):}`D. `{:(q,w,DeltaE),(250J,455J,205J):}`

Answer» Correct Answer - A
`q="heat absorbed"=+250 J`
`W=-PDeltaV=-0.5"atm"xx(10-1)`
`=-4.5 L-"atm"`
`=-4.5xx101J=-454.5 J`
Now `q=DeltaE-W`
`DeltaE=q+W=250-454.5`
`=-204.5 J`
127.

The heat of combusion of benzne determined in a bomb calorimeter is `-870Kcal mol^(-1)` at `298 K`. The value of `DeltaE` for the reaction isA. `-1740 kcal mol^(-1)`B. `+870 kcal mol^(-1)`C. `-870 kcal mol^(-1)`D. `+1740 kcal mol^(-1)`

Answer» Correct Answer - C
The heat change determined in a bomb valorimeter is `DeltaE` value. Thus
`DeltaE=-870kcal mol^(-1)`
128.

The work done by the system in the conversion of `1 mol` of water at `100 ^(@)C` and `760` torr to steam is `-3.1 kJ`. Calculate the `DeltaE` for the conversion (Latent heat of vaporisation of water is `40.65 kJ mol^(-1)`)A. `43.75 kJ`B. `101.35 kJ`C. `37.55 kJ`D. `-40.65 kJ`

Answer» Correct Answer - C
According to first law,
`DeltaE=q+W`
`:. DeltaE=40.65-3.1=37.55 kJ`
129.

`H_(2)O(l)toH_(2)O(g)` , `DeltaH=+43.7 kJ` `H_(2)O(s)toH_(2)O(l)` , `DeltaH=+6.05kJ` The value of `DeltaH_((sublimation))` of ice isA. `49.75 kJ mol^(-1)`B. `37.65 kJ mol^(-1)`C. `43.7 kJ mol^(-1)`D. none of these

Answer» Correct Answer - A
Add the two equations to get
`H_(2)O(s) to H_(2)O(g)`
130.

One mole of a gas absorbs 200 J of heat at constant volume. Its temperature rises from 298 K to 308 K. The change in internal energy is :-A. `200 J`B. `-200 J`C. `200xx(308)/(298)J`D. `200xx(298)/(308)J`

Answer» Correct Answer - A
`DeltaE=q` at constant volume and temperature.
131.

The heat of reaction at constant volume `(DeltaE)` and that at constant pressure `(DeltaH)` are related asA. `DeltaE=DeltaH+DeltanRT`B. `DeltaH=DeltaE-DeltanRT`C. `DeltaH=DeltaE+DeltanRT`D. `DeltaH=DeltaE+nRT`

Answer» Correct Answer - C
`DeltaH=DeltaE+Deltan_(g)RT`.
132.

The enthalpy of the reaction : `H_(2)O_(2)(l)toH_(2)O(l)+(1)/(2)O_(2)(g)` is `-23.5 kcal mol^(-1)` and the enthalpy of formation of `H_(2)O(l)` is `-68.3 kcal mol^(-1)`. The enthalpy of formation of `H_(2)O_(2)(l)` isA. `-44.8 kcal mol^(-1)`B. `44.8 kcal mol^(-1)`C. `-91.8 kcal mol^(-1)`D. `91.8 kcal mol^(-1)`

Answer» Correct Answer - A
`H_(2)+O_(2)toH_(2)O_(2)` is `DeltaH_(f)` of `H_(2)O_(2)`.
To get `H_(f)` for this reaction subtract equation `(i)` from `DeltaH_(f)` of `H_(2)O`.
133.

Under which of the following condition is the relation `DeltaH = DeltaU +P DeltaV` valid for a closed system atA. Constant pressureB. Constant temperatureC. Constant temperature and pressureD. Constant temperature, pressure and composition.

Answer» Correct Answer - C
This equation is valid for a closed system at constant temperature and pressure.
134.

At `27^(@)C` for reaction, `C_(6)H_(6)(l)+(15)/(2)O_(2)(g)to6CO_(2)(g)+3H_(2)O(l)` proceeds spontaneously because the magnitude ofA. `DeltaH = T Delta S`B. `DeltaH gt T Delta S`C. `DeltaH lt T Delta S`D. `DeltaH gt 0` and `T Delta S lt 0`

Answer» Correct Answer - B
In this reaction, `DeltaS=-ve` (because products have lesser gaseous molecules) and `DeltaH=-ve`. Thus, the reaction is spontaneous only if `DeltaH gt T DeltaS`
135.

The heat change for the following reaction at `298 K` and constant pressure is `+7.3 kcal` `A_(@)B(s)to2A(s)+(1)/(2)B_(2)(g)` ,` DeltaH=+7.3 kcal` The heat change at constant volume would beA. `+7.3kcal`B. More than `7.3kcal`C. Less than `7.3 kcal`D. Zero

Answer» Correct Answer - C
`DeltaH=DeltaE+Deltan_(g)RT`
or `DeltaE=DeltaH-Deltan_(g)RT`
`:. DeltaE=+7.3-(1)/(2)xx2xx298`
`=7300 cal-298`
`=7002 cal=7.00 kcal`
136.

Enthalpy of formation of compound isA. always positiveB. always negativeC. can be either negative or zeroD. can be positive or negative

Answer» Correct Answer - D
Enthalpy of formation of a compound may be `+ve` or `-ve`
137.

For the gaseous reaction: `N_(2)O_(4) rarr 2NO_(2)`A. `DeltaHgtDeltaE`B. `DeltaHltDeltaE`C. `DeltaH=DeltaE`D. `DeltaH=0`, but `DeltaE` may have any value.

Answer» Correct Answer - A
`Deltan_(g)=2-1=1`
Thus `DeltaH gt Delta E`.
138.

For a reaction `A(g)+3B(g)to2C(g)` , `DeltaH^(@)=-24kJ` The value of `DeltaG^(@)` is `-9 kJ`. The standard entropy change of reaction isA. `5 JK^(-1)`B. `50 JK^(-1)`C. `500 JK^(-1)`D. `0.5 JK^(-1)`

Answer» Correct Answer - B
Apply `DeltaS^(@)=(DeltaH^(@)-DeltaG^(@))/(T)` Here, `T=298 K`
(Standard temperature)
139.

A hypothetical reaction, `A rarr 2B`, proceeds via following sequence of steps `{:(ArarrC,,DeltaH = q_(1),,,),(CrarrD,,DeltaH = q_(2),,,),((1)/(2)D rarrB,,DeltaH = q_(3),,,):}` The heat of reaction isA. `q_(1)-q_(2)+2q_(3)`B. `q_(1)+q_(2)-2q_(3)`C. `q_(1)+q_(2)+2q_(3)`D. `q_(1)+2q_(2)-2q_(3)`

Answer» Correct Answer - C
Multiply eqn. `(iii)` by `2` and add all the three.
140.

Which of the following equations express `DeltaH` as heat of combustion ?A. `H_(2)(g)+I_(2)to2HI(g)`B. `CaCO_(3)(s)toCaO(s)+CO_(2)(g)`C. `CH_(4)(g)+2O_(2)(g)toCO_(2)(g)+2H_(2)O(l)`D. `2KCIO_(3)(s)to2KCI(s)+3O_(2)(g)`

Answer» Correct Answer - C
According to definition of heat of combustion.
141.

`N_(2)(g) +2O_(2)(g) rarr 2NO_(2)(g) +X kJ` `2NO(g)+O_(2)(g) rarr 2NO_(2) +Y kJ` The ethalpy of formation of `NO` isA. `(2X-2Y)`B. `X-Y`C. `(1)/(2)(Y-X)`D. `(1)/(2)(x-y)`

Answer» Correct Answer - D
Multiply both the reactions by `(1)/(2)` and subtract first equation from `2nd`.
142.

The enthalpy of formation of ammonia is `- 46.2 mol^(-1)`. The enthalpy change for the reaction `2NH_(3) rarr N_(2) + 3 H_(2)` isA. `42.0 kJ`B. `64.0 kJ`C. `80.0 kJ`D. `92.0 kJ`

Answer» Correct Answer - D
`underset(2"moles")(2NH_(3))toN_(2)+3H_(2)`
The enthalpy of formation of ammonia
`=-46kJ mol^(-1)`
`DeltaH"of given reaction " =-2xx(-46)=92kJ`
143.

Given that `(1)/(2)S_(8)(s)+6O_(2)(g)to4SO_(3)(g)`, `DeltaH^(@)=-1590 kJ` The standard enthalpy of formation of `SO_(3)` isA. `-1590 kJ mol^(-1)`B. `-397.5 kJ mol^(-1)`C. `-3.975 kJ mol^(-1)`D. `+397.5 kJ mol^(-1)`

Answer» Correct Answer - B
`DeltaH_(f)(SO_(3))=` heat of formation of `1` mole
`=(-1590)/(4)-397.5 kJ mol^(-1)`
144.

`HA+OH^(-) to H_(2)O+A^(-)+q_(1) kJ` `H^(+)+OH^(-) to H_(2)O+ q_(2) kJ` The enthalpy of dissociation of `HA` isA. `(q_(1)+q_(2))`B. `(q_(1)-q_(2))`C. `(q_(2)-q_(1))`D. `-(q_(1)+q_(2))`

Answer» Correct Answer - B
Subtract `2nd` equation from first.
145.

The enthalpy of formation of ammonia is `-46.0 KJ mol^(-1)` . The enthalpy change for the reaction `2NH_(3)(g)rarr N_(2)(g)+3H_(2)(g)` is :A. `+46.0 kJ`B. `+92.0 kJ`C. `-23 kJ`D. `-92 kJ`

Answer» Correct Answer - B
The given reaction involve decomposition of `2` mol of ammonia `DeltaH_(f)(NH_(3))=-46.0`, `DeltaH_("decomposition")"of" NH_(3)=+46`
`:. DeltaH "of given reaction"=2xx46=92 kJ`
146.

The enthalpy of formation of ammonia is `-46.0 kJ mol^(-1)`. The enthalpy for the reaction `2N_(2)(g)+6H_(2)(g)to4NH_(3)(g)`A. `-46.0 kJ`B. `46.0 kJ`C. `184.0 kJ`D. `-184.0kJ`

Answer» Correct Answer - D
`DeltaH_(f)` refers to the formation of one mole of `NH_(3)`.
`:. DeltaH_(f)` for `4 "moles"=4xx-46=-184 kJ`
147.

Heat of neutralisation of `NaOH` and `HCl` is `-57.46 kJ //` equivalent. The heat of ionisation of water in `kJ //mol` is `:`A. `-57.3 kJ mol^(-1)`B. `-114.6 kJ mol^(-1)`C. `+57.3 kJ mol^(-1)`D. `+114.6 kJ mol^(-1)`

Answer» Correct Answer - C
`NaOH+HCltoNaCl+H_(2)O`
or `H^(+)+OH^(-)toH_(2)O` , `DeltaH=-57.3 kJ`
` :. H_(2)O to H^(+)+OH^(-)` , `DeltaH=+57.3 kJ`
This is according to Laplace law.
148.

For a given reaction`DeltaH=35.5kJmol^(-1)`and`DeltaS=83.6JK^(-1)mol^(-1)`.The reaction is spontaneous at :(Assume that `DeltaH`and`DeltaS` do no vary with temperature)A. `Tgt425K`B. All temperaturesC. `Tgt298K`D. `T lt 425K`

Answer» Correct Answer - D
`DeltaG=DeltaH-TDeltaS`
For equilibrium `DeltaG=0`
`DeltaH-TDeltaS`
`T_(eq).=(DeltaH)/(DeltaS)=(35.5xx1000)/(83.6)=425K`
Since the reaction is endothemic it will be spontaneous at `Tgt 425K` . Option (1)
149.

When 100 mL each of HCl and NaOH solutions are mixed, 5.71 kJ of heat was evolved. What is the molarity of two solution? The heat of neutralisation of HCl is 57.1 kJ

Answer» Correct Answer - 1M
150.

Enthalpy of neutralisation of `NaOH` with `H_(2)SO_(4)` is `-57.3kJ mol^(-1)` and with ethanoic acid `-55.2 kJ mol^(-1)`. Which of the following is the best explanation of this difference?A. Ethanoic acid is weak acid and thus requires less `NaOH` for neutralisationB. Ethanoic acid is only partly ionized, neutralisation is therefore incompleteC. Ethanoic acid is monobasic while `H_(2)SO_(4)` is dibasicD. Some heat is used to ionize the ethanoic acid completely.

Answer» Correct Answer - D
Enthanoic acid is weak acid and it requires so heat for its ionization.