Measurements in Chemistry

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Measurements in Chemistry

Aug 6, 2014

I N T H E C H E M I S T R Y S E C T I O N O F Y O U R

N O T E B O O K , T A K E C O R N E L L S T Y L E N O T E S

O V E R T H E I N F O R M A T I O N P R E S E N T E D I N

T H E F O L L O W I N G S L I D E S .

Level

Questions

Essential Question: What are some of the things you need to know about taking measurements or expressing answers to calculations and how do we apply this knowledge?

Accuracy and Precision

What is the difference between accuracy and precision?

Accuracy is how close a measured value is to the actual (true) value.

Precision is how close the measured values are to each other.

Level

Questions

Significant Figures:

The number of significant figures in a measurement, such as 2.531, is equal to the number of digits that are known with some degree of confidence (2, 5, and 3) plus the last digit (1), which is an estimate or approximation.

As we improve the sensitivity of the equipment used to make a measurement, the number of significant figures increases.

Level questions

Significant Figures

Rules

1.

All nonzero digits are considered significant.

2.

Zeros between other nonzero digits ARE significant.

3 b. 3.0025 s has ___ sig. figs.

5 c. 0.892 kg has ___ sig. figs.

3

3.

Zeros IN FRONT of nonzero digits are NOT significant

4.

Zeros that are at the END of a number AND to the right of the decimal ARE significant.

7

5.

Zeros at the end of the number but to the LEFT of the decimal are significant IF they have been MEASURED or are the first ESTIMATED digit; otherwise, they are not significant.

g.

4

Level

Questions

Significant Figures: Adding and Subtracting

For addition and subtraction, look at the decimal portion (i.e., to the right of the decimal point ) of the numbers ONLY .

Here is what to do:

 1) Count the number of significant figures in the decimal portion of each number in the problem. (The digits to the left of the decimal place are not used to determine the number of decimal places in the final answer.)

 2) Add or subtract in the normal fashion.

 3) Round the answer to the LEAST number of places in the decimal portion of any number in the problem.

 Example: 5.146 + 5.29 = 10.44

You Try: a) 16.5 + 9 + 5.251 = _________

Level

Questions

Significant Figures: Multiplying and

Dividing

The following rule applies for multiplication and division:

The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer

Example: 2.200001

2 = 4

You Try: a) 8.362 x 1.00 = __________ b) 2 x 56 = ____ c) 0.00043 x 4.2434 = ______

Level

Questions

Scientific Notation

A way of writing numbers that are too big or too small to be conveniently written in decimal form.

Level

Questions

Scientific Notation

Level

Questions

Scientific Notation

• To change any number to scientific notation, move the decimal point directly behind the very first digit, counting how many places you move.

Look at these examples:

36,000 meters =3.6 x 10 4 m

I moved the “understood” decimal 4 places to the left   

• 245,000,000 buttons = 2.45 x 10 8 buttons: I moved the understood decimal 8 places to the left.

• 150. Grams = 1.50 x 10 2 grams: I moved the decimal 2 places to the left..

• These examples are all BIG numbers (or numbers greater than one) so the exponents are positive.

Scientific Notation

You Try:

1) 2.36 x 10 8

2) 7.8 x 10 -3

3) 3.92 x 10 -6

4) 5.43 x 10 5

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