Answer:
The mass of the isotope Chromium-50 would be 2.685 grams in 61.8 grams of elemental Chromium.
Explanation:
Natural chromium ([tex]Cr[/tex]) is composed of four stable isotopes: [tex]^{50} Cr[/tex] (4.345 % abundance), [tex]^{52}Cr[/tex] (83.789 % abundance), [tex]^{53}Cr[/tex] (9.501 % abundance) and [tex]^{54}Cr[/tex] (2.365 % abundance). We can obtained the total mass of the isotope Chromium-50 ([tex]m_{^{50}Cr}[/tex]), measured in grams, by multiplying the mass of elemental chromium ([tex]m_{Cr}[/tex]), measured in grams by percentage ratio ([tex]r[/tex]), dimensionless. That is:
[tex]m_{^{50}Cr} = \frac{r}{100}\cdot m_{Cr}[/tex]
If we know that [tex]r = 4.345[/tex] and [tex]m_{Cr} = 61.8\,g[/tex], then the mass of isotope Chromium-50 would be:
[tex]m_{^{50}Cr} = \frac{4.345}{100}\cdot (61.8\,g)[/tex]
[tex]m_{^{50}Cr} = 2.685\,g[/tex]
The mass of the isotope Chromium-50 would be 2.685 grams in 61.8 grams of elemental Chromium.
