Question

Suppose you have 61.8 grams of elemental chromium. How many grams would be the isotope chromium - 50?

Answer 1

Answer:

The mass of the isotope Chromium-50 would be 2.685 grams in 61.8 grams of elemental Chromium.

Explanation:

Natural chromium ($Cr$) is composed of four stable isotopes: $^{50} Cr$ (4.345 % abundance), $^{52}Cr$ (83.789 % abundance), $^{53}Cr$ (9.501 % abundance) and $^{54}Cr$ (2.365 % abundance). We can obtained the total mass of the isotope Chromium-50 ($m_{^{50}Cr}$), measured in grams, by multiplying the mass of elemental chromium ($m_{Cr}$), measured in grams by percentage ratio ($r$), dimensionless. That is:

$m_{^{50}Cr} = \frac{r}{100}\cdot m_{Cr}$

If we know that $r = 4.345$ and $m_{Cr} = 61.8\,g$, then the mass of isotope Chromium-50 would be:

$m_{^{50}Cr} = \frac{4.345}{100}\cdot (61.8\,g)$

$m_{^{50}Cr} = 2.685\,g$

The mass of the isotope Chromium-50 would be 2.685 grams in 61.8 grams of elemental Chromium.