Chlorine can be prepared in the laboratory by the reaction of manganese dioxide with hydrochloric acid, HCl(aq), as described by the chemical equation
MnO2(s)+4HCl(aq)⟶MnCl2(aq)+2H2O(l)+Cl2(g)
How much MnO2(s)MnO2(s) should be added to excess HCl(aq) to obtain 115 mL Cl2(g)at 25 °C and 735 Torr?
mass:
g MnO2
PV = nRT
where, P = pressure = 735 torr = 0.967 atm
V = volume = 115 mL = 0.115 L
n = number of moles
R = gas constant
T = temperature = 25 + 273 = 298 K
0.967 * 0.115 = n * 0.0821 * 298
0.111 = n * 24.5
n = 0.111 / 24.5 = 0.00453 mole
The number of moles of Cl2 = 0.00453 mole
From the balanced equation we can say that
1 mole of Cl2 requires 1 mole of MnO2 so
0.00453 mole of Cl2 will require
= 0.00453 mole of Cl2 *(1 mole of MnO2 / 1 mole of Cl2)
= 0.00453 mole of MnO2
mass of 1 mole of MnO2 = 86.9368 g
so the mass of 0.00453 mole of MnO2 = 0.394 g
Therefore, the mass of MnO2 required would be 0.394 g
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