AP Chemistry : Data Analysis and Other Calculations

Study concepts, example questions & explanations for AP Chemistry

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Example Questions

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Example Question #11 : Data Analysis And Other Calculations

Working in the laboratory, a student finds the density of pure aluminum to be . The accepted value for the density of aluminum is . What was the student's percent error?

Possible Answers:

Correct answer:

Explanation:

To find the percent error, the formula is:

Therefore we plug in the values given:

Therefore, the correct answer including significant figures is 

Example Question #11 : Data Analysis And Other Calculations

Table 1

The table shows the data obtained by three groups when finding the boiling point of methanol. The accepted value is . Is group A precise, accurate or both?

Possible Answers:

Precise but not accurate

Precise and accurate

Accurate but not precise

Neither precise nor accurate

Correct answer:

Precise but not accurate

Explanation:

Group A's values are precise because the data values are all close to each other, but it is not accurate because it none of them is near the accepted value.

Example Question #12 : Data Analysis And Other Calculations

Table 1

The table shows the data obtained by three groups when attempting to find the boiling point of methanol. The accepted value is . Is group C precise, accurate, both, or neither?

Possible Answers:

Precise and accurate

Accurate but not precise

Precise but not accurate

Neither precise nor accurate

Correct answer:

Precise and accurate

Explanation:

Group C is precise because all of their values are close to one another. Their data is also accurate because their values are all near the accepted value. Therefore group C is both accurate and precise.

Example Question #14 : Data Analysis And Other Calculations

Find the volume that  of carbon dioxide will occupy if it's density is .

Possible Answers:

Correct answer:

Explanation:

Remember: 

Rearrange the equation to solve for volume:

Plug in the values given in the problem: 

However, we must take into account significant figures. Because both our given values have 3 significant figures, our answer must have 3 significant figures.

Therefore after rounding the correct answer is: 

Example Question #11 : Data Analysis And Other Calculations

A student experimentally determines the specific heat of water to be . He then looks up the accepted value and finds that it is . What was the student's percent error?

Possible Answers:

Correct answer:

Explanation:

The formula for percent error is:

Plug in the given values and solve:

Therefore, after accounting for significant figures the correct answer is 

Example Question #11 : Data Analysis And Other Calculations

Place the following metric prefixes in order from smallest to largest:

k, M, m, n

Possible Answers:

m, n, k, M

n, k, M, m

n, M, k, m

n, m, k, M

Correct answer:

n, m, k, M

Explanation:

Remember the saying "King Henry Died by Drinking Chocolate Milk". This is referencing the order of metric prefixes: kilo, hecto, deca, deci, centi, milli. Or in their abbreviations: k, h, da, d, c, m.

You also need to know nano (n) which is .

The final one you need to know for this question is Mega (M) which is

Therefore the correct answer is: n, m, k, M (nano, milli, kilo, Mega).

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