Answer :
To find the percent composition of sugar in a solution where 10 grams of sugar are added to 80 grams of water, follow these steps:
1. Calculate the total mass of the solution:
- You start by adding the mass of the sugar to the mass of the water.
[tex]\[ \text{Total mass} = \text{Mass of sugar} + \text{Mass of water} \][/tex]
Given:
[tex]\[ \text{Mass of sugar} = 10 \text{ grams} \][/tex]
[tex]\[ \text{Mass of water} = 80 \text{ grams} \][/tex]
Hence,
[tex]\[ \text{Total mass} = 10 \text{ grams} + 80 \text{ grams} = 90 \text{ grams} \][/tex]
2. Calculate the percent composition of the sugar:
- The percent composition of sugar is found by dividing the mass of the sugar by the total mass of the solution and then multiplying by 100 to convert it to a percentage.
[tex]\[ \text{Percent composition of sugar} = \left( \frac{\text{Mass of sugar}}{\text{Total mass}} \right) \times 100 \][/tex]
Plugging in the values:
[tex]\[ \text{Percent composition of sugar} = \left( \frac{10 \text{ grams}}{90 \text{ grams}} \right) \times 100 \][/tex]
3. Perform the division:
[tex]\[ \left( \frac{10}{90} \right) \approx 0.1111111111 \][/tex]
4. Convert the result to a percentage:
[tex]\[ 0.1111111111 \times 100 = 11.1111111111\% \][/tex]
Therefore, the percent composition of sugar in the solution is approximately [tex]\( 11.11\% \)[/tex].
1. Calculate the total mass of the solution:
- You start by adding the mass of the sugar to the mass of the water.
[tex]\[ \text{Total mass} = \text{Mass of sugar} + \text{Mass of water} \][/tex]
Given:
[tex]\[ \text{Mass of sugar} = 10 \text{ grams} \][/tex]
[tex]\[ \text{Mass of water} = 80 \text{ grams} \][/tex]
Hence,
[tex]\[ \text{Total mass} = 10 \text{ grams} + 80 \text{ grams} = 90 \text{ grams} \][/tex]
2. Calculate the percent composition of the sugar:
- The percent composition of sugar is found by dividing the mass of the sugar by the total mass of the solution and then multiplying by 100 to convert it to a percentage.
[tex]\[ \text{Percent composition of sugar} = \left( \frac{\text{Mass of sugar}}{\text{Total mass}} \right) \times 100 \][/tex]
Plugging in the values:
[tex]\[ \text{Percent composition of sugar} = \left( \frac{10 \text{ grams}}{90 \text{ grams}} \right) \times 100 \][/tex]
3. Perform the division:
[tex]\[ \left( \frac{10}{90} \right) \approx 0.1111111111 \][/tex]
4. Convert the result to a percentage:
[tex]\[ 0.1111111111 \times 100 = 11.1111111111\% \][/tex]
Therefore, the percent composition of sugar in the solution is approximately [tex]\( 11.11\% \)[/tex].
