Question

What is the time (years) required to spend \[1\] mole money if you are spending \[1\] crore rupee every second?

Answer 1

Hint: We know that the number of units of any material in one mole is called the amount of Avogadro, or the constant of Avogadro. This is the equivalent of . Depending on the character of the reaction and the existence of the product, the units can be electrons, ions, atoms or molecules.

Complete answer: Let us first talk about the one mole or the Significance of Avogadro’s number: Substances at the atomic level are measured as per unit of atomic mass. The Atomic mass unit is defined as the weight of \[1/12\] of one carbon atom's mass. For instance, Hydrogen's atomic mass unit is \[1.00794\text{ }amu.\] Currently it is not possible to quantify the power to tell of a single particle (atom, electron, molecule), to conduct a reaction. So, chemists then came up with a way of connecting the unit of atomic mass and the gram.
Here, Rate of spending rupee \[=10\text{ }million/sec=10\times {{10}^{6}}=1\times {{10}^{7}}\]
Total time \[=\dfrac{6.022\times {{10}^{23}}}{1\times {{10}^{7}}}second.\]
On further solving we get;
Total time \[=6.022\times {{10}^{16}}\text{ }sec=\dfrac{6.022\times {{10}^{16}}}{60\times 60\times 24\times 365}\text{ }years\]
Therefore, total time $=1.9723\times {{10}^{9}}years$

Additional Information: The number of component particles, usually molecules, atoms or ions that are present in the amount of material given by one mole is called the Avogadro’s number. It is the proportionality aspect that relates the molar mass of a material to the mass of a sample. It is represented by the symbol \[N\text{ }or\text{ }L,\] and has the value is \[6.022140857\times {{10}^{23}}\] mol in the International System of Units \[\left( SI \right).\] The Avogadro number is a dimensionless number and has the same arithmetical value of the Avogadro constant when given in basic units. Indifference to Avogadro constant has the measurement of the reciprocal amount of material.

Note:
Remember that with \[1\text{ }amu=1.66\times {{10}^{-24}}\] we can differentiate between measurement in grams and the measuring unit of the atomic mass unit that is invisible. And thus, this is the importance of the amount of Avogadro.