Question

\[6.022{\text{ }} \times {\text{ }}{10^{20}}\] atoms of silver (at atomic mass= 108u) weigh-
A.$108 X 10^3g$
B.108g
C.0.108g
D.10.8g

Answer 1

Hint: Avogadro’s number is the number of atoms present in one mole of atom, it is equal to \[6.022{\text{ }} \times {\text{ }}{10^{20}}\] and the unit depends on the substance we are measuring.

Complete step by step answer:
Let’s start with discussing Avogadro's number. Avogadro’s number can be defined in many ways, it is the number of atoms present in one mole of atom, it is equal to \[6.022{\text{ }} \times {\text{ }}{10^{20}}\] and the unit depends on the substance we are measuring.
For example if we are talking about 1 mole of atoms then it will be atoms, if molecules then it will be molecules and like this.
Coming to the question we are given that
\[6.022{\text{ }} \times {\text{ }}{10^{20}}\] atoms of silver are present.
We know that 1 molar weight of any substance is equal to atomic weight in grams. This means that one mole of silver will weigh 108g.
We know that 1 mole of silver contains \[6.022{\text{ }} \times {\text{ }}{10^{20}}\] atoms of silver so, \[6.022{\text{ }} \times {\text{ }}{10^{20}}\] atoms of silver are having a weight of 108g.
So, \[6.022{\text{ }} \times {\text{ }}{10^{20}}\] atoms of silver will have the weight of $108 X 10^-3g$ which is equal to 0.108g.
$\therefore $The answer to this question is option C. 0.108g.

Note:
We must know that the silver is one of the precious metals on earth with a shiny surface and has many applications. One of its known applications is its use in jewellery making. Silver is a white, lustrous metal. Other than jewellery the silver has been used in the making of solar panels, water filtrations, utensils, high value table ware etc. The silver also has disinfectant properties as well.