Mass of water = 3.549 g
Initial water temperature= 12.19°C
Final temperature = -14. 01°C
There are three stages of heat transfer
Heat extracted from 12.19°C to 0°C
Latent heat at 0°C
Heat extracted from 0°C to -14. 01 °C
1) cp of water = 1cal/g
Q1 = -3.549(1) (12.19-0) = -43.26 cal
2) latent heat of fusion of water = 80 cal/g
Q2 =- 3.549(80) = -283. 92 cal
3)
Cp of ice = 0.5 cal
Q3 = -3.549(0.5)(14.01) -24.86 cal
4) Total heat lost to surrounding =
Q = -24. 86-283.92-43.26= -352. 04 cal
5) heat absorbed by system
No heat losses, hence heat lost to surroundings = heat absorbed by system
Q = +352.04 cal
6) The reaction occuring is
Hf(Barium hydroxide) -626. 56 KJ/mol
Hf(ammonium chloride) =-314. 55 KJ/mol
Hf(barium chloride) = -495. 73 KJ/mol
Hf(ammonia) = -45. 90 KJ/mol
Hf(water) = -285. 83 KJ/mol
∆Hr = nHproducts - nHreactants
Hproducts= 1(-495.73) +(2) (-45.80) +(2) (-285.83) = -1158.99 KJ/mol
Hreactant = (2)(-314.55) +(1) (-626.56) =
- 1255.66 KJ/mol
∆Hr = -1158.99-(-1255.66 )= + 96.67 KJ/mol reactant
The reaction is endothermic and it absorbs heat
7)
Heat absorbed by system = heat lost by water = +352.04 cal
1 cal = 4.184 J
Q = 352.04(4.184)= +1472.95 J = 1.472 KJ
Heat produced by reacting 1 mole barium hydroxide = ∆Hr = 96.67 KJ
Number of moles of barium hydroxide that absorbs 1.47295 KJ heat =( 1.472/96.67) = 0.01523 moles
8)
Moles of barium hydroxide reacted =
0.01523 moles
According to stiochiometry , moles of ammonium chloride required = (2) (0.01523) = 0.03046 moles
9) M. W of Ba(OH) 2 = 137.32+(32) +(2) =
171.32 g/mol
M. W of NH4Cl = (14+4+35.5) = 53.5 g/mol
Grams of each reactant required =
Ba(OH) 2 = 0.01523(171.32) = 2.609 g
NH4Cl = 0.03046(53.5) = 1.629 g
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