Introductory Chemistry: A Foundation
8th Edition
ISBN: 9781285199030
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 97AP
- 97. Indicate the number of significant digits in the answer when each of the following expressions is evaluated (you do not have to evaluate the expression).
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Students have asked these similar questions
To divide numbers in scientific notation: divide the digit terms and subtract the exponents.
(A x 10)/(B x 10²)
(A/B) x 10 Y-z
(5.6 x 105)/(1.8 x 10²) = (5.6/1.8) x 105-2
(You may have to put numbers back in proper notation!)
Perform these calculations
(2.2 x 104) (1.3 x 10²) =
(1.6 x 1033)/(1.3 x 10-6) =
(4.6 x 1022) (1.2 x 10-8) =
(5.6 x 107)/(1.0 x 10²) =
(2.6 x 10²) (1.1 x 10-²) =
= 3.1 x 10³
not used this semester. Before
Adding and subtracting in scientific notation
performing this function you must make the exponents the same first.
1.0 x 102
Example: 1.2 x 105 +
You can't just add the digit terms because one is really a very large
number so either take them both out of notation then add
120000 + 100 = 120100
or write one of the numbers out of proper notation in order to get the same exponent:
now write in proper notation 1.201 x 105
1200 x 102 +1.0 x 10²
= 1201 x 10²
Find the difference between the value of x2 and the sum of x1 plus x3.; let x4 be equivalent to the sum of x1 and x3 and let x5 be the difference between x2 and x5. This calculation scheme is shown below. Make notes about any similarities or differences between the values in your notes. x4 = x1 + x3 x5 = x2 – x4
Data Analyis
This section will include all data collected during the lab.
Thermochemical Data
Tinitial (°C)
Tfinal (°C)
ΔT (°C)
moles NaOH
qreaction (kJ)
ΔHrxn
Reaction 1
25.0
30.3
+5.3
0.025
-1.11
-44.4
Reaction 2
25.0
37.0
+12.0
0.025
-2.51
-100.4
Reaction 3
25.0
31.7
+6.7
0.025
-1.40
-56.1
Reaction 1: NaOH(s) → Na+(aq) + OH-(aq) + x1 kJ
1g /39.977g/mol = 0.025 moles
Moles NaOH = 0.025
qsolution = (4.184 J/g °C) (50.0g) (30.3°C -25.0°C)
= -1108.76 J/ 1000
qreaction (kJ) = -1.11 kJ
ΔH = -1.11 kJ/ 0.025 moles
ΔHrxn = -44.4 kJ/mol…
between significant digits are always significant.
figures.
Example: 5,007 has 4 significant figures.
3) Trailing zeros in a number are significant only If the
number contalns a decimal polnt.
Example: 100.0 has 4 significant figures.
100 has 1 significant figure.
4) Zeros in the beginning of a number whose only function
Is to place the decimal polnt are not significant.
Example: 0.0025 has 2 significant figures.
5) Zeros following a decimal significant figure are
significant.
Example: 0.000470 has 3 significant figures.
0.47000 has 5 signlficant figures.
Determine the number of significant figures in the following numbers.
1. 0.02
6. 5,000.
4.
2. 0.020
2.
7. 6,051.006
3. 501 3
8. 0.0005 1.
4. 501.0
9. 0.1020
5. 5,000
10. 10,001 5
Determine the location of the last significant place value by placing a bar over the digit.
Example: 1.700)
9,010.0
4.7x10-8
10,8 00,000
3.0Tx 1021
0.00410
1. 8040
6. 90,100
0.0300
699.5
2,000X162
0.90100
2. 0.0300
7. 4.7 x 108
3. 699.5
8. 10,800,000.
3.…
Chapter 2 Solutions
Introductory Chemistry: A Foundation
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