Question

A calibration curve was created to determine the quantity of protein in a solution. The calibration curve has the form of a straight line with the equation A = 0.0182 x +0.007 where A is the corrected absorbance of the solution and x is quantity of protein in the solution in units of micrograms (μg). Determine the quantity of protein in a solution that has an absorbance of 0.207. A blank solution has an absorbance of 0.050 .

Answer 1

(a) 10 quantities of protein

(b) 2 quantities of protein

Step-by-step explanation:

Given

`A = 0.0182 x +0.007`

Solving (a):

Solve for x when A = 0.207

Substitute 0.207 for A

`A = 0.0182 x +0.007`

`0.207 = 0.0182x + 0.007`

Solve for 0.0182x

`0.0182x = 0.207 - 0.007`

`0.0182x = 0.200`

Solve for x

`x = 0.200/0.0182`

`x = 10.989010989`

`x = 11` (Approximated)

Solving (b):

Solve for x when A = 0.050

Substitute 0.050 for A

`A = 0.0182 x +0.007`

`0.050 = 0.0182x + 0.007`

Solve for 0.0182x

`0.0182x = 0.050 - 0.007`

`0.0182x = 0.043`

Solve for x

`x = 0.043/0.0182`

`x = 2.36263736264`

`x = 2` (Approximated)