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For chemical reactions involving ideal gases, the equilibrium constant K can be

ID: 683564 • Letter: F

Question

For chemical reactions involving ideal gases, the equilibrium constant K can be expressed either in terms of the concentrations of the gases (in M) or as a function of the partial pressures of the gases (in atmospheres). In the latter case, the equilibrium constant is denoted as Kp to distinguish it from the concentration-based equilibrium constant K. For the reaction 2CH4(g) C2H2(g) + 3H2(g) K = 0.140 at 1567 degree C. What is Kp for the reaction at this temperature? Express your answer numerically. For the reaction N2(g) + 3H2(g) 2NH3(g) Kp = 2.45 times 10-3 at 337 degree C. What is K for the reaction at this temperature? Enter your answer numerically.

Explanation / Answer

We Know that :     The given Reaction is :         2 CH4 (g ) <-------> C2H2 ( g) + 3 H2 ( g )          Kp = Kc ( RT )ng                                       ng = gaseous moles of products - gaseous moles of reactants                                                 =  4 - 2                                                 = 2             Kp   = 0.140 ( 0.0821 x 1840 K )2                          =    3194.8464     b.                N2 ( g ) + 3 H2 ( g)   <---------> 2 NH3 ( g )                 Kp = Kc ( RT )ng                                       ng = gaseous moles of products - gaseous moles of reactants                                                 =   2 - 4                                                 = - 2             2.45 x 10-3 = Kc ( 0.0821 x 610)-2                    Kc   = 6.1448                                       ng = gaseous moles of products - gaseous moles of reactants                                                 =  4 - 2                                                 = 2             Kp   = 0.140 ( 0.0821 x 1840 K )2                          =    3194.8464     b.                N2 ( g ) + 3 H2 ( g)   <---------> 2 NH3 ( g )                 Kp = Kc ( RT )ng                                       ng = gaseous moles of products - gaseous moles of reactants                                                 =   2 - 4                                                 = - 2             2.45 x 10-3 = Kc ( 0.0821 x 610)-2                    Kc   = 6.1448                    Kc   = 6.1448
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