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question_answer1) 2Sulphide ion in alkaline solution reacts with solid sulphur to form polysulphide ions having formula, \[S_{2}^{2-},\,\,S_{3}^{2-},\,\,S_{4}^{2-}\] etc. if \[{{K}_{1}}=12\] for \[S+{{S}^{2-}}\rightleftharpoons S_{2}^{2-}\] and \[{{K}_{2}}=132\] for \[2S+{{S}^{2-}}\rightleftharpoons S_{3}^{2-},\] calculate \[{{K}_{3}}\] for \[S+{{S}^{~}}_{2}^{2-}\rightleftharpoons S_{3}^{2-}\] Give your answer by dividing 5.5
question_answer2) At some temperature and under a pressure of 4 aim, \[PC{{l}_{5}}\] is 10% dissociated. Calculate the pressure at which \[PC{{l}_{5}}\] will be 20% dissociated, temperature remaining same.
question_answer3) In the esterfication \[{{C}_{2}}{{H}_{5}}OH(\ell )+C{{H}_{3}}COOH(\ell )\rightleftharpoons C{{H}_{3}}COO{{C}_{2}}{{H}_{5}}(\ell )+{{H}_{2}}O(\ell )\]an equimolar mixture of alcohol and acid taken initially yields under equilibrium, the water mole fraction \[=\,\,0.333.\] Calculate the equilibrium constant.
question_answer4) In the preparation of quicklime from limestone, the reaction is \[CaC{{O}_{3}}(s)\rightleftharpoons CaO(s)+C{{O}_{2}}(g).\] Above equilibrium is established in 4L vessel at 1000 K. If \[Kp\] for the reaction is 2 atm then find out the minimum weight of \[CaC{{O}_{3}}\] needed for the equilibrium establishment. Give your answer dividing by 2
question_answer5) For the reaction \[A(s)+B(g)\rightleftharpoons 2C(g)+D(g);\,\,Kp={{K}_{c}}{{(RT)}^{y}}.\] Find the value of y.
question_answer6) From the following graphical representation, what is the value of \[\left( \alpha +\beta +\gamma \right)\] in following equilibrium reaction? \[\alpha A(g)+\beta B(g)\gamma C(g)\]
question_answer7) For the equilibrium \[CuS{{O}_{4}},5{{H}_{2}}O(s)\rightleftharpoons CuS{{O}_{4}}.3{{H}_{2}}O(s)+2{{H}_{2}}O(g)\,\,{{K}_{P}}=2.25\times {{10}^{-4}}at{{m}^{2}}\] and vapour pressure of water is 22.8 torr at 298 K. If % relative humidity is z, then find the value of z/10
question_answer8) \[{{N}_{2}}{{O}_{4}}\] at 2 atm is introduced in a \[12\ell \] rigid vessel at 300 K. Temperature is increased to 600 K, due to which 50% of \[{{N}_{2}}{{O}_{4}}\] dissociates into \[N{{O}_{2}}.\] Calculate the final pressure (in atm) of the system
question_answer9) Prove \[\alpha =\sqrt{\left( \frac{{{K}_{P}}}{P+{{K}_{P}}} \right)}\] for \[PC{{l}_{5}}\rightleftharpoons PC{{l}_{3}}+C{{l}_{2}};\] where \[\alpha \] is degree of dissociation at a temperature when equilibrium constant is \[{{K}_{P}}\]
question_answer10) For the reaction: \[{{N}_{2}}{{O}_{4}}(g)\rightleftharpoons 2N{{O}_{2}}(g),\,\,\Delta H=14.6kcal.\,\,If\,Kp=0.141\] at 298 K, calculate \[{{K}_{P}}\] at 338 K.
question_answer11) Calculate the equilibrium concentration ratio of A to C if 2.0 mol each of A and B were allowed to come to equilibrium at 300 K. \[A+B\rightleftharpoons C+D\Delta {{G}^{{}^\circ }}=460cal\]
question_answer12) For the equilibrium \[LiCl.3N{{H}_{3}}(s)\rightleftharpoons LiCl.N{{H}_{3}}(s)+2N{{H}_{3}}\] \[{{K}_{P}}=9\text{ }at{{m}^{2}}\], at \[40{}^\circ C\]. A 5 litre contains 0.1 mole of \[LiCl.N{{H}_{3}}\,.\] How many moles of NHs should be added to the flask at this temperature to drive the backward reaction for completion.
question_answer13) A vessel at 1000K contains \[C{{O}_{2}}\] with a pressure of 0.5 aim some of the \[C{{O}_{2}}\] is converted into \[CO\]on addition of graphite. Calculate the value of K, if total pressure at equilibrium is 0.8 aim.
question_answer14) One mole of \[{{N}_{2}}\] and 3 moles of \[PC{{l}_{5}}\] are placed in a 100 Hire vessel heated to \[227{}^\circ C\]. The equilibrium pressure is 2.05 aim. Assuming ideal behaviour, calculate degree of dissociation of \[PC{{l}_{5}}\] & \[{{K}_{P}}\] for the reaction \[PC{{l}_{5}}\rightleftharpoons PC{{l}_{5}}+C{{l}_{2}}.\]
question_answer15) A mixture of \[{{H}_{2}}\] and \[{{I}_{2}}\] in molecular proportion of 2 : 3 was heated at \[440{}^\circ C\] till the reaction \[{{H}_{2}}+{{I}_{2}}\rightleftharpoons 2HI\] reached equilibrium state. Calculate the percentage of iodine converted into \[HI\] (\[Kc\]at \[440{}^\circ C\] is 0.02)
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