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QuestionMultiply or divide these measurements with correct significant digits:
1. 7.81molL×4.525 L=□mol7.81 \frac{\mathrm{mol}}{\mathrm{L}} \times 4.525 \mathrm{~L}=\square \mathrm{mol}
2. 215.0 mol÷0.85 L=□molL215.0 \mathrm{~mol} \div 0.85 \mathrm{~L}=\square \frac{\mathrm{mol}}{\mathrm{L}}
3. 578.36 m÷0.41 s=□ms578.36 \mathrm{~m} \div 0.41 \mathrm{~s}=\square \frac{\mathrm{m}}{\mathrm{s}}

Studdy Solution

STEP 1

Assumptions1. The given measurements are in the correct units. . The multiplication or division should be carried out as per the basic arithmetic rules.
3. The number of significant digits in the final answer should be the same as the number of significant digits in the measurement with the least number of significant digits.

STEP 2

First, let's solve the first problem. We need to multiply the given measurements.
7.81mol×4.525L=?mol7.81 \frac{mol}{} \times4.525 L = ? mol

STEP 3

Perform the multiplication.
?mol=7.81mol×.525L? mol =7.81 \frac{mol}{} \times.525 L

STEP 4

Calculate the result.
?mol=7.81×4.525=35.33525mol? mol =7.81 \times4.525 =35.33525 mol

STEP 5

The number of significant digits in the final answer should be the same as the number of significant digits in the measurement with the least number of significant digits. In this case,7.81 has three significant digits, and4.525 has four significant digits. Therefore, the final answer should have three significant digits.
?mol=35.3mol? mol =35.3 mol

STEP 6

Next, let's solve the second problem. We need to divide the given measurements.
215.0mol÷0.85L=?mol215.0 mol \div0.85 L = ? \frac{mol}{}

STEP 7

Perform the division.
?mol=215.0mol÷0.85L? \frac{mol}{} =215.0 mol \div0.85 L

STEP 8

Calculate the result.
?mol=215.0÷0.85=252.94117647058823mol? \frac{mol}{} =215.0 \div0.85 =252.94117647058823 \frac{mol}{}

STEP 9

The number of significant digits in the final answer should be the same as the number of significant digits in the measurement with the least number of significant digits. In this case,215. has four significant digits, and.85 has two significant digits. Therefore, the final answer should have two significant digits.
?mol=250mol? \frac{mol}{} =250 \frac{mol}{}

STEP 10

Finally, let's solve the third problem. We need to divide the given measurements.
578.36m÷0.41s=?ms578.36 m \div0.41 s = ? \frac{m}{s}

STEP 11

Perform the division.
?ms=578.36m÷0.41s? \frac{m}{s} =578.36 m \div0.41 s

STEP 12

Calculate the result.
?ms=578.36÷0.41=1410.390243902439ms? \frac{m}{s} =578.36 \div0.41 =1410.390243902439 \frac{m}{s}

STEP 13

The number of significant digits in the final answer should be the same as the number of significant digits in the measurement with the least number of significant digits. In this case,578.36 has five significant digits, and0.41 has two significant digits. Therefore, the final answer should have two significant digits.
?ms=1400ms? \frac{m}{s} =1400 \frac{m}{s}The solutions to the problems are. 7.81mol×.525L=35.3mol7.81 \frac{mol}{} \times.525 L =35.3 mol2. 215.0mol÷0.85L=250mol215.0 mol \div0.85 L =250 \frac{mol}{}3. 578.36m÷0.41s=1400ms578.36 m \div0.41 s =1400 \frac{m}{s}

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