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A silver ornament of mass m gram is polished with gold equivalent to 1% of the mass of silver. Compute the ratio of the number of atoms of gold and silver in the ornament?
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A silver ornament of mass m gram is polished with gold equivalent to 1...
Assume that mass of silver to be "m" grams.

It is given that mass of gold = 1% of mass of silver

That is,

mass of gold = 1 % of m grams

Mass of gold = 0.01 m grams                                  [ 1% = 1 / 100 = 0.01]

Molar mass of Gold (Au) = 197 g

Given mass =  0.01 m grams

No : of moles = Given mass / Molar mass

= 0.01 m / 197 moles

No : of atoms = No : of moles * Avogadro no: 

 = [ 0.01 m / 197 ] * 6.022 * 10^23


Molar mass of silver (Ag) = 108 g

Given mass  = m grams

No: of moles = Given mass / Molar mass

= m / 108 moles

No : of atoms = No : of moles * Avogadro no: 

= m / 108 / 6.022 / 10 ^23

Ratio of no : of atoms of gold and silver :-

0.01 m / 197  * 6.022 * 10^23  :  m / 108 * 6.022 * 10 ^23

6.022 * 10^23 will get cancelled on both sides.

0.01 m / 197 = m / 108

Cross multiplication is done.

0.01 * 108 : 197 * m

1.08 =  197 m

m = 1.08 / 197

= 0.0054 (approx.)

Therefore ratio of number of atoms of gold and silver in the ornament :
0.0054 : 1

  OR

5.4 * 10^-5 : 1

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A silver ornament of mass m gram is polished with gold equivalent to 1% of the mass of silver. Compute the ratio of the number of atoms of gold and silver in the ornament?
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A silver ornament of mass m gram is polished with gold equivalent to 1% of the mass of silver. Compute the ratio of the number of atoms of gold and silver in the ornament? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A silver ornament of mass m gram is polished with gold equivalent to 1% of the mass of silver. Compute the ratio of the number of atoms of gold and silver in the ornament? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A silver ornament of mass m gram is polished with gold equivalent to 1% of the mass of silver. Compute the ratio of the number of atoms of gold and silver in the ornament?.
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