a)
Molar mass of Ag2O,
MM = 2*MM(Ag) + 1*MM(O)
= 2*107.9 + 1*16.0
= 231.8 g/mol
mass(Ag2O)= 12.50 mg
= 0.0125 g
use:
number of mol of Ag2O,
n = mass of Ag2O/molar mass of Ag2O
=(1.25*10^-2 g)/(2.318*10^2 g/mol)
= 5.393*10^-5 mol
Since Δ H is positive, heat is absorbed
when 2 mol of Ag2O reacts, heat absorbed = 62.1 KJ
So,
for 5.393*10^-5 mol of Ag2O, heat absorbed = 5.393*10^-5*62.1/2 KJ
= 1.674*10^-3 KJ
Answer: 1.674*10^-3 KJ
b)
E = 31 M cal
= 31*10^6 cal
= 4.184*31*10^6 J
= 1.297*10^8 J
= 1.297*10^5 KJ
when 62.1 KJ of heat is involved, 4 mol of Ag is reacting
So,
for 1.297*10^5 KJ, mol of Ag = 1.297*10^5*4/62.1 KJ
= 8.354*10^3 mol
Molar mass of Ag = 107.9 g/mol
use:
mass of Ag,
m = number of mol * molar mass
= 8.354*10^3 mol * 1.079*10^2 g/mol
= 9.014*10^5 g
Now use:
Volume = mass / density
= (9.014*10^5 g) / (10.5 g/cm^3)
= 8.58*10^4 cm^3
= 8.58*10^4 mL
Answer: 8.58*10^4 mL
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