JEE Chemistry - Chemical Equilibrium

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Question - 1

Sulphide ion in alkaline solution reacts with solid sulphur to form polysulphide ione having formula, \(\mathrm{S}_{2}^{2-}, \mathrm{S}_{3}^{2-}, \mathrm{S}_{4}^{2-} \text {, etc. if } \mathrm{K}_{1}=12 \text { for } \mathrm{S}+\mathrm{S}^{2} \rightleftharpoons \mathrm{S}_{2}^{2-} \text { and } \mathrm{K}_{2}=132 \text { for } 2 \mathrm{~S}+\mathrm{S}^{2} \rightleftharpoons \mathrm{S}_{3}^{2-}\) calculate k3 for \(\mathrm{S}+\mathrm{S}_{2}^{2-} \rightleftharpoons \mathrm{S}_{3}^{2-}\) Give your answer by dividing 5.5

  • A 1.00
  • B 43.0
  • C 1.20
  • D 2.00

Question - 2

At some temperature and under a pressure of 4 atm, PCls is 10% dissociated. Calculate the pressure at which PCL will be 20% dissociated, temperature remaining same.

  • A 1.00
  • B 2.3
  • C 4.50
  • D 2.30

Question - 3

In the esterfication \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)+\mathrm{CH}_{3} \mathrm{COOH}(\ell) \rightleftharpoons \mathrm{CH}_{3} \mathrm{COOC}_{2} \mathrm{H}_{5}(\ell)+\mathrm{H}_{2} \mathrm{O}(\ell)\) an equimolar mixture of alcohol and acid taken initially yields under equilibrium, the water mole fraction = 0.333. Calculate the equilibrium constant.

  • A 1.20
  • B 43.0
  • C 4.00
  • D 1.23

Question - 4

In the preparation of quicklime from limestone, the reaction is \(\mathrm{CaCO}_{3}(\mathrm{~s}) \rightleftharpoons \mathrm{CaO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{~g})\) Above equilibrium is established in 4 L vessel at 1000 K. If Kp for the reaction ie 2 atm then find out the minimum weight of CaCO3 needed for the equilibrium establishment. Give your answer dividing by 2

  • A 4.31
  • B 2.01
  • C 1.00
  • D 5.00

Question - 5

For the reaction \(\mathrm{A}(\mathrm{s})+\mathrm{B}(\mathrm{g}) \rightleftharpoons 2 \mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g}) ; \mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{c}}(\mathrm{RT})^{\mathrm{y}}\) Find the value of y.

  • A 2.00
  • B 1.01
  • C 5.410
  • D 6.01

Question - 6

From the following graphical representation, what is the value of \((\alpha+\beta+\gamma)\) in following equilibrium reaction ? \(\alpha A(g)+\beta B(g) \rightleftharpoons \gamma C(g)\)

  • A 7.00
  • B 1.20
  • C 4.11
  • D 5.60

Question - 7

For the equilibrium \(\mathrm{CuSO}_{4}, 5 \mathrm{H}_{2} \mathrm{O}(\mathrm{s}) \rightleftharpoons \mathrm{CuSO}_{4} \cdot 3 \mathrm{H}_{2} \mathrm{O}(\mathrm{s})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \mathrm{K}_{\mathrm{P}}=2.25 \times 10^{-4} \mathrm{~atm}^{2}\) and vapour pressure of water ig 22.8 torr at 298 K. If % relative humidity is z, then find the value of z/10.

  • A 12.0
  • B 4.11
  • C 5.00
  • D 2.01

Question - 8

N2O4 at 2 atm ie introduced in a 12l rigid vessel at 300 K. Temperature is ircreased to 600 K, due to which 50% of N2O4 dissociates into NO2. Calculate the final pressure (in atm) of the system

  • A 2.34
  • B 6.00
  • C 7.56
  • D 1.23

Question - 9

Prove \(\alpha=\sqrt{\left(\frac{\mathrm{K}_{\mathrm{P}}}{\mathrm{P}+\mathrm{K}_{\mathrm{P}}}\right)} \text { for } \mathrm{PCl}_{5} \rightleftharpoons \mathrm{PCl}_{3}+\mathrm{Cl}_{2} \text {; where } \alpha\) is degree of dissociation at a temperature when equilibrium constant is kp

  • A 42.4
  • B 5.31
  • C 1.2
  • D 2.56

Question - 10

For the reaction: \(\mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2}(\mathrm{~g}), \Delta \mathrm{H}=14.6 \mathrm{kcal} . \text { If } \mathrm{K}_{\mathrm{p}}=0.141 \text { at } 298 \mathrm{~K}\) calculate Kp at 338 K.

  • A 1.47
  • B 2.10
  • C 5.34
  • D 4.01
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