## five ml of colored solution has an absorbance of .500nm The absorbance of 10ml of the same solution is?

**A**- 1.000nm**B**- 0.250nm**C**- 0.500nm

### The correct answer is A. 1.000nm.

Here's why:

#### - Beer-Lambert Law:

This law states that the absorbance (A) of a solution is directly proportional to its concentration (c) and path length (l). It can be expressed as: A = ε * c * l, where ε is the molar absorptivity (a constant for a specific molecule at a specific wavelength).

#### - Same Solution:

Since it's the same colored solution, the molar absorptivity (ε) remains constant.

#### - Double the Volume:

Doubling the volume (from 5 ml to 10 ml) essentially halves the concentration (c).

#### - Constant Path Length:

Assuming the same cuvette is used for both measurements, the path length (l) remains constant.

Therefore, to maintain the same absorbance (A) with a halved concentration, the light needs to travel through twice the amount of solution. This doubles the product of c * l, resulting in an absorbance of 1.000 nm, which is double the original 0.500 nm.

### Other Options:

Options B and C are incorrect because:

#### - 0.250nm (B):

This would be the absorbance if the concentration were halved and the path length remained the same. However, in this case, the path length doubles.

#### - 0.500nm (C):

This is the absorbance of the original 5 ml solution. Doubling the volume would double the absorbance.