Question

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

Answer 1

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

Step-by-step 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) = (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) = (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.