An impure sample of pyrolusite ore consist of 70 of mno2 20 inert impurities and rest moisture. On strong heating , all MnO2 is converted into MnO alongwith formation of O2 . The % of Mn in dried sample is (atomic mass of Mn = 55)
Answers
Answered by
21
I think Values in Question are like :
70% MnO2 ,
20% Inert Impurities
10% Moisture
Final Answer : 57.37%
STEPS:
1) Let the total mass of Pyrolusite ore be 'x' (in grams.)
Then,
Mass of MnO2 = 0.7 x
Mass of Inert Impurity = 0.2x
Mass of Moisture = 0.1x
2) Reaction :
MnO2 ------> MnO. + 1/2 O2
No. of moles of MnO2
= Given mass / Molar Mass
![= \frac{0.7x}{55 + 2 \times 16} = \frac{0.7x}{87} = \frac{0.7x}{55 + 2 \times 16} = \frac{0.7x}{87}](https://tex.z-dn.net/?f=+%3D+%5Cfrac%7B0.7x%7D%7B55+%2B+2+%5Ctimes+16%7D+%3D+%5Cfrac%7B0.7x%7D%7B87%7D+)
By Reaction,
No. of moles of MnO2 = No. of moles of MnO
= n(MnO)
![\frac{0.7x}{87} \frac{0.7x}{87}](https://tex.z-dn.net/?f=+%5Cfrac%7B0.7x%7D%7B87%7D+)
3) Mass of Mn in MnO = n(MnO) * 55
![= \frac{0.7x}{87} \times 55 = \frac{0.7x}{87} \times 55](https://tex.z-dn.net/?f=+%3D+%5Cfrac%7B0.7x%7D%7B87%7D+%5Ctimes+55)
4)
Since, Moisture gets vaporised after heating.
Dried Sample is of : MnO + Inert Impurities
Mass of MnO = n(MnO) * (55+16)
![= \frac{0.7x}{87} \times 71 = \frac{0.7x}{87} \times 71](https://tex.z-dn.net/?f=+%3D+%5Cfrac%7B0.7x%7D%7B87%7D+%5Ctimes+71)
5) Finally,
% of Mn in dried Sample :
=
Mass of Mn in MnO /( Mass of MnO + Mass of Inert Impurity)
![= \frac{ \frac{0.7x}{87} \times 55}{ \frac{0.7x}{87} \times 71 + 0.2x} \times 100 \\ \\ = \frac{385}{671} \times 100 \\ \\ = 57 .37 \: \: percentage = \frac{ \frac{0.7x}{87} \times 55}{ \frac{0.7x}{87} \times 71 + 0.2x} \times 100 \\ \\ = \frac{385}{671} \times 100 \\ \\ = 57 .37 \: \: percentage](https://tex.z-dn.net/?f=+%3D+%5Cfrac%7B+%5Cfrac%7B0.7x%7D%7B87%7D+%5Ctimes+55%7D%7B+%5Cfrac%7B0.7x%7D%7B87%7D+%5Ctimes+71+%2B+0.2x%7D+%5Ctimes+100+%5C%5C+%5C%5C+%3D+%5Cfrac%7B385%7D%7B671%7D+%5Ctimes+100+%5C%5C+%5C%5C+%3D+57+.37+%5C%3A+%5C%3A+percentage)
Therefore, % of Mn in dried Sample is
57.37 % .
70% MnO2 ,
20% Inert Impurities
10% Moisture
Final Answer : 57.37%
STEPS:
1) Let the total mass of Pyrolusite ore be 'x' (in grams.)
Then,
Mass of MnO2 = 0.7 x
Mass of Inert Impurity = 0.2x
Mass of Moisture = 0.1x
2) Reaction :
MnO2 ------> MnO. + 1/2 O2
No. of moles of MnO2
= Given mass / Molar Mass
By Reaction,
No. of moles of MnO2 = No. of moles of MnO
= n(MnO)
3) Mass of Mn in MnO = n(MnO) * 55
4)
Since, Moisture gets vaporised after heating.
Dried Sample is of : MnO + Inert Impurities
Mass of MnO = n(MnO) * (55+16)
5) Finally,
% of Mn in dried Sample :
=
Mass of Mn in MnO /( Mass of MnO + Mass of Inert Impurity)
Therefore, % of Mn in dried Sample is
57.37 % .
shaym1210:
Thanks a lot
Answered by
1
Answer:
57.4% is ur answer
good luckk
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