Math Snap

STEP 1

1. We need to convert units from $\mathrm{kg}$ to $\mathrm{g}$.
2. We need to convert units from $\mathrm{dL}$ to $\mathrm{L}$.
3. The conversion factors are $1 \, \mathrm{kg} = 1000 \, \mathrm{g}$ and $1 \, \mathrm{L} = 10 \, \mathrm{dL}$.

STEP 2

1. Convert $\mathrm{kg}$ to $\mathrm{g}$.
2. Convert $\mathrm{dL}$ to $\mathrm{L}$.
3. Combine the conversions to find the final result.

STEP 3

Convert the mass unit from $\mathrm{kg}$ to $\mathrm{g}$.
\[
2.6 \times 10^{-5} \, \frac{\mathrm{kg}}{\mathrm{mol} \cdot \mathrm{dL}} \times \frac{1000 \, \mathrm{g}}{1 \, \mathrm{kg}} = 2.6 \times 10^{-2} \, \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{dL}}$$

STEP 4

Convert the volume unit from $\mathrm{dL}$ to $\mathrm{L}$.
\[
2.6 \times 10^{-2} \, \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{dL}} \times \frac{1 \, \mathrm{L}}{10 \, \mathrm{dL}} = 2.6 \times 10^{-3} \, \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{L}}$$

Combine the conversions to find the final result.
The final result is:
$$\boxed{2.6 \times 10^{-3} \, \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{L}}}$$