A chromate πΆπ‘Ÿπ‘‚4 βˆ’2 solution has an absorbance of 1.534 when the cell length is 1.5 cm. If the molar absorptivity of chromate ion is 5.21 Γ— 103 π‘€βˆ’1 π‘π‘šβˆ’1 , calculate the concentration of chromate ion.

I don't know your problem here but it appears to me to be a plug and chug problem.

A = abc
A = 1.534
a = 5210
b = 1.5
c = ?
Substitute and solve for c. The units for c will be mols/L since a is the molar absorptivity constant.

thank you dr bob, i get the answer.

To calculate the concentration of chromate ion, you can use the Beer-Lambert Law, which relates the absorbance of a solution to its concentration.

The Beer-Lambert Law is expressed as: A = Ι› * c * β„“

Where:
A is the absorbance of the solution
Ι› is the molar absorptivity (also known as the molar absorptivity coefficient)
c is the concentration of the solute
β„“ is the path length of the cell (in this case, 1.5 cm)

In your case, the given information is:
A = 1.534 (absorbance)
Ι› = 5.21 Γ— 10^3 𝑀^βˆ’1 π‘π‘š^βˆ’1 (molar absorptivity)
β„“ = 1.5 cm (cell length)

To calculate the concentration (c), rearrange the Beer-Lambert Law equation to isolate c:
c = A / (Ι› * β„“)

Substituting the given values:
c = 1.534 / (5.21 Γ— 10^3 * 1.5)

Simplifying the equation:
c = 1.534 / 7.815 𝑀

Therefore, the concentration of chromate ion is approximately 0.1962 M.