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

Respuesta :

transitionstate
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:

Grams of Ti = 4.56 g

Explanation:

Given:

# atoms of Titanium = 5.74*10²²

To determine:

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

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, [tex]= \frac{5.74*10^{22}  atoms*47.90g}{6.023*10^{23} atoms} =4.56\ g[/tex] of Ti would correspond to:

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