Question

Please help I really need it. How many grams of titanium are in an instrument gear with 5.74x10^22 atoms of Ti

Answer 1

`=4.56gTi`

Step-by-step explanation:

Hello,

In this case, by knowing that the Avogadro's number is helpful to relate the atoms with moles and subsequently the atomic mass to relate mole with mass, it is possible to compute the grams of titanium by using its atomic mass as follows:

`=5.74x10^(22)atomsTi*(1molTi)/(6.022x10^(23)atomsTi)*(47.867gTi)/(1molTi) \\=4.56gTi`

Best regards.

Answer 2

Atomic weight of Ti = 47.87 g/mol

Now, 1 mole of Ti weights 47.87 g and has 6.022 x 10^23 atoms

Thus, 6.022 X 10^23 atoms of Ti ≡ 47.87 g
Therefore, 5.74x10^22 atoms of Ti ≡ 4.56 g

Answer: 4.56 g of titanium are is present in instrument gear with 5.74x10^22 atoms of Ti