Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To determine the concentration of [tex]\( F_2(g) \)[/tex] in parts per billion (ppb) in a solution, we follow these steps:
1. Identify the given masses:
- Mass of [tex]\( F_2(g) \)[/tex]: [tex]\( 4.8 \times 10^{-8} \)[/tex] grams
- Mass of [tex]\( H_2O(l) \)[/tex]: [tex]\( 9.6 \times 10^{-3} \)[/tex] grams
2. Understand parts per billion (ppb):
- Parts per billion is a ratio where 1 ppb means 1 part of the substance per [tex]\( 10^9 \)[/tex] parts of the solution.
3. Set up the ratio:
[tex]\[ \text{Concentration (ppb)} = \left( \frac{\text{Mass of } F_2(g)}{\text{Mass of solution}}\right) \times 10^9 \][/tex]
4. Substitute the given values into the ratio:
[tex]\[ \text{Concentration (ppb)} = \left( \frac{4.8 \times 10^{-8} \text{ g } F_2(g)}{9.6 \times 10^{-3} \text{ g } H_2O(l)} \right) \times 10^9 \][/tex]
5. Simplify the fraction:
[tex]\[ \frac{4.8 \times 10^{-8}}{9.6 \times 10^{-3}} = \frac{4.8}{9.6} \times 10^{-8 + 3} = 0.5 \times 10^{-5} \][/tex]
6. Calculate the concentration:
[tex]\[ \text{Concentration (ppb)} = 0.5 \times 10^{-5} \times 10^9 = 0.5 \times 10^{4} = 5000 \text{ ppb} \][/tex]
This result matches with option D.
Therefore, the concentration of [tex]\( F_2(g) \)[/tex] in the solution is [tex]\( \boxed{5.0 \times 10^3 \text{ ppb}} \)[/tex].
1. Identify the given masses:
- Mass of [tex]\( F_2(g) \)[/tex]: [tex]\( 4.8 \times 10^{-8} \)[/tex] grams
- Mass of [tex]\( H_2O(l) \)[/tex]: [tex]\( 9.6 \times 10^{-3} \)[/tex] grams
2. Understand parts per billion (ppb):
- Parts per billion is a ratio where 1 ppb means 1 part of the substance per [tex]\( 10^9 \)[/tex] parts of the solution.
3. Set up the ratio:
[tex]\[ \text{Concentration (ppb)} = \left( \frac{\text{Mass of } F_2(g)}{\text{Mass of solution}}\right) \times 10^9 \][/tex]
4. Substitute the given values into the ratio:
[tex]\[ \text{Concentration (ppb)} = \left( \frac{4.8 \times 10^{-8} \text{ g } F_2(g)}{9.6 \times 10^{-3} \text{ g } H_2O(l)} \right) \times 10^9 \][/tex]
5. Simplify the fraction:
[tex]\[ \frac{4.8 \times 10^{-8}}{9.6 \times 10^{-3}} = \frac{4.8}{9.6} \times 10^{-8 + 3} = 0.5 \times 10^{-5} \][/tex]
6. Calculate the concentration:
[tex]\[ \text{Concentration (ppb)} = 0.5 \times 10^{-5} \times 10^9 = 0.5 \times 10^{4} = 5000 \text{ ppb} \][/tex]
This result matches with option D.
Therefore, the concentration of [tex]\( F_2(g) \)[/tex] in the solution is [tex]\( \boxed{5.0 \times 10^3 \text{ ppb}} \)[/tex].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.