Determine the optimum mass ratio of Zn to MnO2 in an alkaline battery.Express your answer using four significant figures.?
What is the optimum mass ratio of zinc (Zn) to manganese dioxide (MnO2) in an alkaline battery? Please express your answer using four significant figures. Note that the answer is not 0.3757 or 0.3736, and no additional values have been provided in this question.
1 Answers
An alkaline battery produces electrical energy according to the following equation.
Zn(s) + 2 MnO2(s) + H2O(l) = Zn(OH)2(s) + Mn2O3(s)
1mol Zn requires 2 mol MnO2
Molar mass Zn = 65.39g/mol
Molar mass MnO2 = 54.94+2*16 = 86.94g/mol 2mol = 173.88g
65.39g Zn reacts with 173.88g MnO2
1g Zn will react with 173.88g/65.39g MnO2
Mass ratio = Zn : MnO2 = 1: (173.88/65.39)
Mass ratio = Zn:MnO2 = 1: 2.659
If you reverse this and calculate:
173.88g MnO2 will react with 65.39g Zn
Then ratio = 65.39/173.88 = 1: 0.3761 ( which is what you got , allowing for slight molar mass differences)
This is the mass ratio MnO2: Zn - which is not what was asked.
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