Concept explainers
(a)
Interpretation:
The number of significant figures that the answer must have for the conversion of
Concept Introduction:
A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis. The units are treated the way the numbers are treated in this method. Three steps has to be followed for the Dimensional analysis and they are,
- The known or given quantity has to be identified that includes both numerical and units. The unit of the new quantity that has to be determined.
- Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
- The mathematical operation has to be performed as indicated by the conversion factor setup.
If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement. If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.
(b)
Interpretation:
The number of significant figures that the answer must have for the conversion of
Concept Introduction:
A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis. The units are treated the way the numbers are treated in this method. Three steps has to be followed for the Dimensional analysis and they are,
- The known or given quantity has to be identified that includes both numerical and units. The unit of the new quantity that has to be determined.
- Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
- The mathematical operation has to be performed as indicated by the conversion factor setup.
If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement. If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.
(c)
Interpretation:
The number of significant figures that the answer must have for the conversion of
Concept Introduction:
A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis. The units are treated the way the numbers are treated in this method. Three steps has to be followed for the Dimensional analysis and they are,
- The known or given quantity has to be identified that includes both numerical and units. The unit of the new quantity that has to be determined.
- Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
- The mathematical operation has to be performed as indicated by the conversion factor setup.
If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement. If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.
(d)
Interpretation:
The number of significant figures that the answer must have for the conversion of
Concept Introduction:
A general-problem solving method in which the units under consideration is associated with numbers and are used as a guide in setting up calculations is known as Dimensional analysis. The units are treated the way the numbers are treated in this method. Three steps has to be followed for the Dimensional analysis and they are,
- The known or given quantity has to be identified that includes both numerical and units. The unit of the new quantity that has to be determined.
- Multiply the known or given quantity by one or more required conversion factors so that the unwanted units are cancelled leaving the desired units only.
- The mathematical operation has to be performed as indicated by the conversion factor setup.
If an exact number is present in the conversion of one unit into another, then the answer obtained will have the same number of significant figures as the measurement. If an inexact number is present in the conversion means, then the answer obtained will have same number of significant figures as in measurements or least number of significant figures as in conversion factor.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Bundle: General, Organic, and Biological Chemistry, 7th + OWLv2 Quick Prep for General Chemistry, 4 terms (24 months) Printed Access Card
- At sea, distances are measured in nautical miles and speeds are expressed in knots. 1 nautical mile =6076.12ft 1 knot =1 nautical mi/h (exactly) (a) How many miles are in one nautical mile? (b) How many meters are in one nautical mile? (c) A ship is traveling at a rate of 22 knots. Express the ship's speed in miles per hour.arrow_forwardThe density of quartz mineral was determined by adding a weighed piece to a graduated cylinder containing 52.2 mL water. After the quartz was submerged, the water level was 67.1 mL. The quartz piece weighed 39.8 g. What was the density of the quartz?arrow_forwardThe total length of all the DNA molecules contained in a human body is 1 1010 miles. The population of the United States is about 300 million. What is the total length of all the DNA of the U.S. population in lightyears? (A light year is the distance that light travels in a year and is 9.46 1015 m.)arrow_forward
- Convert 234.0 x10^-4 to the proper exponential notation following thr rules of significant figures. A. 2.340x10^2 B. 2.340x10^ 0 C. 2.340x10^-2 D. 2.34x10 ^ 3 E. 2.340x10^ 3 F. 2.340x10^-1 G. 2.34x10^-2 H. 2.34x10^2 I. 2.34x10 ^-3 J. 2.340x10^ -3 K. 2. 349x10^1 L. 2.340arrow_forward2. How many significant figures are in the following? a. 50.0 cm b. 0.00500 m c. 1.50 x 105 secarrow_forwardDetermine the number of significant figures in each measurement. a. 0.049450 s c. 3.1587 × 1 0 -4 gb. 0.000482 mL d. 0.0084 mLarrow_forward
- Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement. Number of Measurement Estimated Digit Significant Figures 14.8 m Choose... 3 $10.25 Choose... 4 0.05 L Choose... Choose... 1.000 g/mL 1 Choose... 6200 cm 4 Choose... 403 kg 3arrow_forwardPerform the following calculations and be sure to report your answer using correct number of significant figures and units. a. 1555 in + 14.14 in + 236.00 in = b. 155.15 cm + 0.001 cm + 0.8 cm= c. 158.50 s - 33.1 s = d. 8.2 g + 23 g - 0.005 g =arrow_forwardAssume you measured an irregular shaped object in a beaker to be 149.167 g, and you know that the empty beaker weighs 96.222 g. You then carefully drop this object in a graduated cylinder containing 20.0 mL of water, and the water level rises to 42.3 mL. Calculate the final density of the irregular shaped object to the correct number of significant figures. a. 1.25 b. 2.37 c. 7.46 d. 4.31 e. 3.53arrow_forward
- 5 nyoor X A the p X Spoti x A Chap x E * Par X Netfli X Goo 53. Calculate Make the following conversions. Express your answers in scientific notation. a. 14.8 g = ? ug b. 3.72 g = ? kg C. 66.3 L ? cm³ d. 7.5 x 104 J = ? kJ e. 3.9 × 10° mg = ? dg f. 2.1 X 10 dL = ? µL %3D %3Darrow_forwardReview the rules for significant figures in calculations. Perform the following mathematical operations and round to the correct number of significant figures. a. 27.95 + 13.6 b. 408 - 12.21 c. 81.32/0.781 d. 15.9 x 3.021arrow_forwardQ.1. A student obtains the number 0.40076 on a balance. 4.00 x10 If this number actually has (3) significant figures, how should it be written? 0.400 0.4007 0.401 Q.2. Convert 5324 mL to m' (1000 L=1 m') 5.324 x10 5.324 5.324x10' 0.5324x10 Q.3. A student wants 25.0 g of acetone for a chemical 31.605 mL reaction. If the density of acetone is 0.791 g/mL, how many milliliters of acetone are needed? (take care about significant figures) 0.316 x10 19.7 19.77 Multiple optionalarrow_forward
- World of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage LearningChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningIntroductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage Learning
- General Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningLiving By Chemistry: First Edition TextbookChemistryISBN:9781559539418Author:Angelica StacyPublisher:MAC HIGHER