Question

In: Chemistry

Used Mg for these Trials Initial Temperature Final Temperature Trials HCl (mL) Mass (g) TioC TfoC...

Used Mg for these Trials Initial Temperature Final Temperature
Trials HCl (mL) Mass (g) TioC TfoC
Trial #1 7.5 mL 0.08 g 24 oC 62 oC
Trial #2 7.5 mL 0.06 g 23.9 oC 56.9 oC
Used MgO for these Trials
Trials HCl (mL) Mass (g) TioC Tf oC
Trial #1 7.5 mL 0.13 g 23.8 oC 30.1 oC
Trial #2 7.5 mL 0.16 g 22.7 oC 36.7 oC

Calculate the heat absorbed by the HCl for each trial. Assume that the specific heat capacity of the dilute HCl is the same as water(4.184 J/g∙°C)

Determine the limiting reagent and calculate the moles of the limiting reagent for each trial.

Calculate ∆Hrxn for each trial.

Calculate ∆Hf° for MgO then calculate % error using the actual value of ∆Hf° for MgO.

Solutions

Expert Solution

heat absorbed by HCL= mass of HCl* specific heat* temperature difference=

The reaction is Mg+2HCl--------->MgCl2+ H2

Trail-1 : mass of HCl= Volume*density = 7.5 ml*1g/ml= 7.5gm, specific heat= 4.184 J/gm.deg.c and temperature difference= 62-24= 38, heat absorbed = 7.5*4.184*38 joules =1192 joules

moles of Mg used = mass/molar mass= 0.08/24=0.00333, heat absorbed by Mg/mole= 1192/0.00333 = 357600 J/mole

Trial-2: heat absorbed= 7.5* 1*4.184*(56.9-23.9) joules/ 0.06/24 J/mole =414216 J/mole= 414.216 KJ/mole

since there is temperature rise, deltaH= -357.600 Kj/mole for trial-1 and 414.216 Kj/mole for trial-2

2. MgO+2HCl------->MgCl2+ H2P

molar mass of MgO= 40

Heat absorbed= 7.5* 1*(30.1-23.8)*4.184/(0.13/40)=60829 j/mole= 60.829 Kj/mole

since temperature rise is there, deltaH=-60.829 Kj/mole

Trial-2 = 7.5*1*4.184*(36.7-22.7)/ (0.16/40)=109830 J/mole= 109.830 KJ/mole

deltaH=-109.830 Kj/mole

for trial -1 % error= 100*{(-130.65+60.829)/-130.65}=53.44%

actual vallue is =-130.65 Kj/mole, % error=100*{ (-130.65+109.830)/-130.65}=15.9%

% error=


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