Given:
P = 785 torr
= (785/760) atm
= 1.0329 atm
V = 285 mL
= (285/1000) L
= 0.285 L
T = 25.0 oC
= (25.0+273) K
= 298 K
find number of moles using:
P * V = n*R*T
1.0329 atm * 0.285 L = n * 0.08206 atm.L/mol.K * 298 K
n = 1.204*10^-2 mol
This is number of mol of Cl2 formed
From reaction,
Mol of MnO2 required = mol of Cl2 formed
= 1.204*10^-2 mol
Molar mass of MnO2,
MM = 1*MM(Mn) + 2*MM(O)
= 1*54.94 + 2*16.0
= 86.94 g/mol
use:
mass of MnO2,
m = number of mol * molar mass
= 1.204*10^-2 mol * 86.94 g/mol
= 1.047 g
Answer: 1.05 g
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