6. If two solutions, A and B, are prepared by dissolving 30 g of sugar in 250 g of water and 52 g of sugar in 250 g of water, respectively, compare their concentrations.

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25-07-2024
Chemistry

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6. If two solutions, A and B, are prepared by dissolving 30 g of sugar in 250 g of water and 52 g of sugar in 250 g of water, respectively, compare their concentrations.

Sagot :

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GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-07-25T00:46:06-04:00

Certainly! Let's dive into the problem step by step to find the sugar concentration in the two solutions, A and B.

### Given Data:
- Solution A:
- Sugar: 30 grams
- Water: 250 grams

- Solution B:
- Sugar: 5 grams
- Water: 250 grams

### Objective:
We want to determine the concentration of sugar in each solution. Concentration in this context is defined as the amount of sugar per gram of water.

### Step-by-Step Solution:

#### Solution A:
1. Calculate the concentration of sugar in solution A:
- Sugar: 30 grams
- Water: 250 grams

The concentration of sugar in solution A can be found by dividing the amount of sugar by the amount of water.

[tex]\[ \text{Concentration}_A = \frac{\text{Sugar in grams}}{\text{Water in grams}} = \frac{30 \text{ g}}{250 \text{ g}} \][/tex]

2. Perform the division:

[tex]\[ \text{Concentration}_A = 0.12 \text{ g of sugar per g of water} \][/tex]

#### Solution B:
1. Calculate the concentration of sugar in solution B:
- Sugar: 5 grams
- Water: 250 grams

Similarly, the concentration of sugar in solution B is given by:

[tex]\[ \text{Concentration}_B = \frac{\text{Sugar in grams}}{\text{Water in grams}} = \frac{5 \text{ g}}{250 \text{ g}} \][/tex]

2. Perform the division:

[tex]\[ \text{Concentration}_B = 0.02 \text{ g of sugar per g of water} \][/tex]

### Conclusion:

- The concentration of sugar in Solution A is [tex]\( \mathbf{0.12} \)[/tex] grams of sugar per gram of water.
- The concentration of sugar in Solution B is [tex]\( \mathbf{0.02} \)[/tex] grams of sugar per gram of water.

These final values represent the sugar concentration in each solution.

Sagot :

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