To find out how many grams of dissolved solids are in a 2-liter bottle of water based on the information provided, we can use the ratio from the 50-milliliter sample.
First, we know that:
- The sample has 13 milligrams of dissolved solids in 50 milliliters of water.
Next, we need to calculate the amount of dissolved solids per liter. Since 1 liter is 1000 milliliters, we find the amount in 1 liter using the following steps:
-
Find how many 50-milliliter portions are in 1 liter: \[ \frac{1000 \text{ mL}}{50 \text{ mL}} = 20 \]
-
Calculate the total dissolved solids in 1 liter: \[ 20 \times 13 \text{ mg} = 260 \text{ mg} \]
Now, we want to find out how many grams of dissolved solids there are in 2 liters. Since we found that there are 260 milligrams in 1 liter, we multiply by 2:
\[ 260 \text{ mg} \times 2 = 520 \text{ mg} \]
- Convert milligrams to grams: Since there are 1000 milligrams in 1 gram, we convert the total: \[ \frac{520 \text{ mg}}{1000} = 0.520 \text{ grams} \]
Therefore, the 2-liter bottle would have
\[ \boxed{0.520} \text{ grams} \]
of dissolved solids.