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Mg reacts with H^+(aq) according to Mg(s) + 2H^+(aq) rightarrow Mg^2+(aq) + H_2(

ID: 498770 • Letter: M

Question

Mg reacts with H^+(aq) according to Mg(s) + 2H^+(aq) rightarrow Mg^2+(aq) + H_2(g) Suppose that 0.524 g of Mg is reacted with 60.0 mL of 1 0 M H^+(aq) according to the procedure used in this experiment. Assume that the density of the H^+(aq) solution is 1 00 g mL, and that its specific heat capacity equals that of water. The initial and final temperatures are 22.0 degree C and 65.8 degree C. (a) Is the reaction endothermic or exothermic? Explain. (b) Calculate the delta H of the reaction. Use the correct number of significant figures, and give units. (c) Calculate the delta H of the reaction per mole of magnesium.

Explanation / Answer

a) it is exothermic reaction . because temperature increases from 22 oC to 65.8 oC.

b) moles of Mg = 0.524 / 24 = 0.0218

moles of HCl = 60 x 1 / 1000 = 0.06

Mg      + 2 HCl -------------------> MgCl2 + H2

1       2

0.0218 0.06

Mg is limiting reagent

Q = m Cp dT

Q = 60 x 4.18 x (65.8-22)

Q = 10995 J

Q = 11.0 kJ

delta H = - Q / n

            = -11.0 / 0.0218

         = -504 kJ/ mol

c) here limiting reagent is Mg so both b and c answers same

delta H = = -504 kJ/ mol