QuestionMultiply or divide these measurements, ensuring answers have correct significant digits:
1. $20.947 \frac{\mathrm{g}}{\mathrm{mL}} \times 25 \mathrm{mL} = \square \mathrm{g}$
2. $996.90 \mathrm{mol} \div 33.96 \mathrm{L} = \square \frac{\mathrm{mol}}{\mathrm{L}}$
3. $978.4 \mathrm{g} \div 0.53 \mathrm{mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}$

Studdy Solution

STEP 1

Assumptions1. The given measurements are accurate and have the correct units. . The multiplication or division should be performed as indicated.
3. The result should be presented with the same number of significant digits as the least precise measurement.

STEP 2

Let's start with the first problem. We need to multiply the given measurements.
$20.947 \frac{g}{m} \times25 mL = ? g$

STEP 3

Multiply the numbers and remember that the mL units cancel out, leaving us with grams (g).
$20.947 \times25 =523.675 g$

STEP 4

However, we need to round the answer to the same number of significant digits as the least precise measurement. In this case, the least precise measurement is25 mL, which has two significant digits. So, we round our answer to two significant digits.
$523.675 g \approx520 g$

STEP 5

Now, let's move on to the second problem. We need to divide the given measurements.
$996.90 mol \div33.96 L = ? \frac{mol}{}$

STEP 6

Divide the numbers and remember that the result will be in moles per liter (mol/L).
$996.90 \div33.96 =29.358 mol/L$

STEP 7

Again, we need to round the answer to the same number of significant digits as the least precise measurement. In this case, the least precise measurement is33.96 L, which has four significant digits. So, we round our answer to four significant digits.
$29.358 mol/L \approx29.36 \frac{mol}{}$

STEP 8

Finally, let's solve the third problem. We need to divide the given measurements.
$978.4 g \div0.53 mL = ? \frac{g}{m}$

STEP 9

Divide the numbers and remember that the result will be in grams per milliliter (g/mL).
$978.4 \div.53 =1845.283 g/mL$

STEP 10

Once again, we need to round the answer to the same number of significant digits as the least precise measurement. In this case, the least precise measurement is0.53 mL, which has two significant digits. So, we round our answer to two significant digits.
$1845.283 g/mL \approx1800 \frac{g}{m}$ So, the solutions to the problems are. $520 g$
2. $29.36 \frac{mol}{}$
3. $1800 \frac{g}{m}$

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Studdy Solution

STEP 1

Assumptions1. The given measurements are accurate and have the correct units. . The multiplication or division should be performed as indicated.
3. The result should be presented with the same number of significant digits as the least precise measurement.

STEP 2

Let's start with the first problem. We need to multiply the given measurements.
$20.947 \frac{g}{m} \times25 mL = ? g$

STEP 3

Multiply the numbers and remember that the mL units cancel out, leaving us with grams (g).
$20.947 \times25 =523.675 g$

STEP 4

However, we need to round the answer to the same number of significant digits as the least precise measurement. In this case, the least precise measurement is25 mL, which has two significant digits. So, we round our answer to two significant digits.
$523.675 g \approx520 g$

STEP 5

Now, let's move on to the second problem. We need to divide the given measurements.
$996.90 mol \div33.96 L = ? \frac{mol}{}$

STEP 6

Divide the numbers and remember that the result will be in moles per liter (mol/L).
$996.90 \div33.96 =29.358 mol/L$

STEP 7

Again, we need to round the answer to the same number of significant digits as the least precise measurement. In this case, the least precise measurement is33.96 L, which has four significant digits. So, we round our answer to four significant digits.
$29.358 mol/L \approx29.36 \frac{mol}{}$

STEP 8

Finally, let's solve the third problem. We need to divide the given measurements.
$978.4 g \div0.53 mL = ? \frac{g}{m}$

STEP 9

Divide the numbers and remember that the result will be in grams per milliliter (g/mL).
$978.4 \div.53 =1845.283 g/mL$

STEP 10

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Studdy Solution

STEP 1

Assumptions1. The given measurements are accurate and have the correct units. . The multiplication or division should be performed as indicated.3. The result should be presented with the same number of significant digits as the least precise measurement.

STEP 2

Let's start with the first problem. We need to multiply the given measurements.20.947gm×25mL=?g20.947 \frac{g}{m} \times25 mL = ? g20.947mg​×25mL=?g

STEP 3

Multiply the numbers and remember that the mL units cancel out, leaving us with grams (g).20.947×25=523.675g20.947 \times25 =523.675 g20.947×25=523.675g

STEP 4

STEP 5

Now, let's move on to the second problem. We need to divide the given measurements.996.90mol÷33.96L=?mol996.90 mol \div33.96 L = ? \frac{mol}{}996.90mol÷33.96L=?mol​

STEP 6

Divide the numbers and remember that the result will be in moles per liter (mol/L).996.90÷33.96=29.358mol/L996.90 \div33.96 =29.358 mol/L996.90÷33.96=29.358mol/L

STEP 7

STEP 8

Finally, let's solve the third problem. We need to divide the given measurements.978.4g÷0.53mL=?gm978.4 g \div0.53 mL = ? \frac{g}{m}978.4g÷0.53mL=?mg​

STEP 9

Divide the numbers and remember that the result will be in grams per milliliter (g/mL).978.4÷.53=1845.283g/mL978.4 \div.53 =1845.283 g/mL978.4÷.53=1845.283g/mL

STEP 10

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The given measurements are accurate and have the correct units. . The multiplication or division should be performed as indicated.
3. The result should be presented with the same number of significant digits as the least precise measurement.

Let's start with the first problem. We need to multiply the given measurements.
$20.947 \frac{g}{m} \times25 mL = ? g$

Multiply the numbers and remember that the mL units cancel out, leaving us with grams (g).
$20.947 \times25 =523.675 g$

Now, let's move on to the second problem. We need to divide the given measurements.
$996.90 mol \div33.96 L = ? \frac{mol}{}$

Divide the numbers and remember that the result will be in moles per liter (mol/L).
$996.90 \div33.96 =29.358 mol/L$

Finally, let's solve the third problem. We need to divide the given measurements.
$978.4 g \div0.53 mL = ? \frac{g}{m}$

Divide the numbers and remember that the result will be in grams per milliliter (g/mL).
$978.4 \div.53 =1845.283 g/mL$