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 .

Respuesta :

Answer:

(a) 10 quantities of protein

(b) 2 quantities of protein

Explanation:

Given

[tex]A = 0.0182 x +0.007[/tex]

Solving (a):

Solve for x when A = 0.207

Substitute 0.207 for A

[tex]A = 0.0182 x +0.007[/tex]

[tex]0.207 = 0.0182x + 0.007[/tex]

Solve for 0.0182x

[tex]0.0182x = 0.207 - 0.007[/tex]

[tex]0.0182x = 0.200[/tex]

Solve for x

[tex]x = 0.200/0.0182[/tex]

[tex]x = 10.989010989[/tex]

[tex]x = 11[/tex] (Approximated)

Solving (b):

Solve for x when A = 0.050

Substitute 0.050 for A

[tex]A = 0.0182 x +0.007[/tex]

[tex]0.050 = 0.0182x + 0.007[/tex]

Solve for 0.0182x

[tex]0.0182x = 0.050 - 0.007[/tex]

[tex]0.0182x = 0.043[/tex]

Solve for x

[tex]x = 0.043/0.0182[/tex]

[tex]x = 2.36263736264[/tex]

[tex]x = 2[/tex] (Approximated)