Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Let's start by converting the given mass of sodium bicarbonate from kilograms to grams and then to nanograms.
1. Convert the mass from kilograms to grams:
- Given: [tex]\( \text{mass in kilograms} = 2.1 \, \text{kg} \)[/tex]
- We know that [tex]\( 1 \, \text{kg} = 1000 \, \text{g} \)[/tex].
- Therefore, the mass in grams is:
[tex]\[ 2.1 \, \text{kg} \times 1000 \, \text{g/kg} = 2100 \, \text{g} \][/tex]
2. Convert the mass from grams to nanograms:
- Given: [tex]\( \text{mass in grams} = 2100 \, \text{g} \)[/tex]
- We know that [tex]\( 1 \, \text{g} = 1 \times 10^9 \, \text{ng} \)[/tex].
- Therefore, the mass in nanograms is:
[tex]\[ 2100 \, \text{g} \times 10^9 \, \text{ng/g} = 2100 \times 10^9 \, \text{ng} \][/tex]
3. Express this result with scientific notation:
- The result from the above multiplication is:
[tex]\[ 2100 \times 10^9 \, \text{ng} \][/tex]
- We can factor this result to:
[tex]\[ 2.1 \times 10^3 \times 10^9 \, \text{ng} \][/tex]
- Simplifying the exponents, we get:
[tex]\[ 2.1 \times 10^{3+9} \, \text{ng} = 2.1 \times 10^{12} \, \text{ng} \][/tex]
Thus, the mass of the sample in nanograms is:
[tex]\[ 2.1 \times 10^{12} \, \text{ng} \][/tex]
So, the correct answer is [tex]\(2.1 \times 10^{12} \, \text{ng}\)[/tex].
1. Convert the mass from kilograms to grams:
- Given: [tex]\( \text{mass in kilograms} = 2.1 \, \text{kg} \)[/tex]
- We know that [tex]\( 1 \, \text{kg} = 1000 \, \text{g} \)[/tex].
- Therefore, the mass in grams is:
[tex]\[ 2.1 \, \text{kg} \times 1000 \, \text{g/kg} = 2100 \, \text{g} \][/tex]
2. Convert the mass from grams to nanograms:
- Given: [tex]\( \text{mass in grams} = 2100 \, \text{g} \)[/tex]
- We know that [tex]\( 1 \, \text{g} = 1 \times 10^9 \, \text{ng} \)[/tex].
- Therefore, the mass in nanograms is:
[tex]\[ 2100 \, \text{g} \times 10^9 \, \text{ng/g} = 2100 \times 10^9 \, \text{ng} \][/tex]
3. Express this result with scientific notation:
- The result from the above multiplication is:
[tex]\[ 2100 \times 10^9 \, \text{ng} \][/tex]
- We can factor this result to:
[tex]\[ 2.1 \times 10^3 \times 10^9 \, \text{ng} \][/tex]
- Simplifying the exponents, we get:
[tex]\[ 2.1 \times 10^{3+9} \, \text{ng} = 2.1 \times 10^{12} \, \text{ng} \][/tex]
Thus, the mass of the sample in nanograms is:
[tex]\[ 2.1 \times 10^{12} \, \text{ng} \][/tex]
So, the correct answer is [tex]\(2.1 \times 10^{12} \, \text{ng}\)[/tex].
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. 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.