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Liquid methanol (CH3OH) can be used as an alternative fuel inpickup and SUV engi

ID: 686639 • Letter: L

Question

Liquid methanol (CH3OH) can be used as an alternative fuel inpickup and SUV engines. An industrial method for preparing it usesthe catalytic hydrogenation of carbon monoxide: CO(g) + 2H2(g) ----->CH3OH(l) How much heat (in kJ) is released when 15.0 L of CO at 85degrees celsius and 112 kPa reacts with 18.5 L of H2 at 75 degreesC and 744 torr? CO(g) + 2H2(g) ----->CH3OH(l) How much heat (in kJ) is released when 15.0 L of CO at 85degrees celsius and 112 kPa reacts with 18.5 L of H2 at 75 degreesC and 744 torr?

Explanation / Answer

We Know that :      The given Reaction is :           CO(g) +2H2(g) ----->CH3OH(l)         H(rxn.) = H (products) - H(reactants)        According to idealgas equation:           PV = nRT           n (CO) = 1.14 atm x 15.0 L / 0.0821 atm-L / mol-Kx 358 K                         = 0.5817 moles            n (H2) =   1.011 atm x 18.5 L/   0.0821 atm-L / mol-K x 348K                            = 0.654 moles           From the above balanced equation it is clear that 1 moleof CO reacts with 2 molesH2                  So forthe given data number of moles of H2   acts as limiting reagent.              for 2 moles of hydrogen 1 mole of methanol is formed in thebalanced equation                    0.654 moles of hydrogen    0.327 moles of methanolis formed           H (rxn.) = H (products) - H(reactants)                            = 0.5817 moles x -238.6 KJ / mol - [ 0.327 moles x -110.5 KJ / mol + 0.654 moles x 0 ]                             = -102.66 KJ
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