223k views
4 votes
Please help I really need it. How many grams of titanium are in an instrument gear with 5.74x10^22 atoms of Ti

User Ziddarth
by
7.3k points

2 Answers

4 votes

Answer:


=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.

User Miguel Hernandez
by
9.0k points
1 vote
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
User Alex Vazhev
by
7.9k points