Question

How many grams of titanium (Ti, 47.90 g/mol) are in an instrument gear with 5.74x10^22 atoms of Ti

Answer 1

Answer:
Mass = 45.64 g

Solution:

First of all calculate number of moles for given number of atoms,

As,
6.022 × 10²³ atoms = 1 Mole
So,
5.74 × 10²² atoms = X Moles

Solving for X,
X = (1 mol × 5.74 × 10²² atoms) ÷ 6.022 × 10²³ atoms

X = 0.953 Moles

Now converting moles into mass,
As,
Moles = Mass / M.mass
So,
Mass = Moles × M.Mass
Putting Values,
Mass = 0.953 mol × 47.90 g.mol⁻¹

Mass = 45.64 g

Answer 2

Grams of Ti = 4.56 g

Step-by-step explanation:

Given:

# atoms of Titanium = 5.74*10²²

To determine:

The mass of Ti in corresponding to the given number of atoms

Step-by-step explanation:

1 mole of any substance contains Avogadro's number of atoms.

i.e. 1 mole of Ti = 6.023*10²³ atoms

Since 1 mole Ti = 47.90g,

47.90 g of Ti contains 6.023*10²³ atoms

Therefore,
`= (5.74*10^(22)  atoms*47.90g)/(6.023*10^(23) atoms) =4.56\ g` of Ti would correspond to: