One atom of an element x weights 6.644*10-23g calculate the no. Of gram atom in 40kg of it?

Question

Answer

Answer

Calculation of gram atoms in 40 kg of element x

Given:

Weight of one atom of element x = 6.644*10^-23 g

Mass of element x = 40 kg

Definition of gram atom:

A gram atom is defined as the amount of an element whose mass, in grams, is numerically equal to its atomic weight.

Atomic weight is the average mass of one atom of an element, taking into account all the naturally occurring isotopes of that element.

Calculation:

To find the number of gram atoms in 40 kg of element x, we first need to determine the atomic weight of the element.

Let us assume the atomic weight of element x to be 'A'.

Weight of one mole of element x = A grams (by definition of molar mass)

Number of atoms in one mole = Avogadro's number = 6.022*10^23

Hence, weight of one atom of element x = A/6.022*10^23 grams

Given, weight of one atom of element x = 6.644*10^-23 g

Therefore, we can write:

A/6.022*10^23 = 6.644*10^-23 g

Solving for A, we get:

A = 6.644*10^-23 g * 6.022*10^23 = 40 g/mol

So, the atomic weight of element x is 40 g/mol.

Now, we can calculate the number of gram atoms in 40 kg of element x:

Number of moles in 40 kg = (40 kg)/(40 g/mol) = 1000 moles

Number of gram atoms = 1000 moles * Avogadro's number = 1000 * 6.022*10^23 = 6.022*10^26 gram atoms

Answer:

There are 6.022*10^26 gram atoms of element x in 40 kg of it.