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.
Trending nowThis is a popular solution!
Chapter 2 Solutions
General, Organic, and Biological Chemistry
- 1) The density of a material can be used to calculate the volume of an object if its mass is known. Likewise, the mass can be calculated if the density and volume are known. A pre-1964 quarter, made predominantly of silver (density= 10.5 g/mL), was determined to have a mass of 6.25 g. What is the volume of a quarter? A. 65.6 B. 0.595 mL C. 1.68 mL D. 6.25 mL 2) Add: 2.11 + 104.056 + 0.1205 A. 106 B. 106.29 C. 106.286 D. 106.2865arrow_forward5 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_forwardJust number 42.arrow_forward
- Q.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_forward2. How many significant figures are in the following? a. 50.0 cm b. 0.00500 m c. 1.50 x 105 secarrow_forward2. Significant Figures Record the number of significant figures in each of the following numbers. a. 6.03 b. 0.0603 c. 650.3 d. 650 e. 2.670 x 103 f. 0.0100arrow_forward
- Complete the following conversions between SI units. A. 612 g=___mg B. 8.160 m=___cm C. 3779 ug= ___g D. 781 mL =___L E. 4.18 kg=___garrow_forwardWhich of the following has the smallest number of significant figures? Why? A. All of the other options have the same number of significant figures. B. 0.0050 C. 0.0500 D. 0.0005 E. 0.5000arrow_forward4. Show the answers with appropriate number of significant figures. 39.9 а. 6.022 x1023 b. 0.0021 g + 34.56 g-0.765 garrow_forward
- Review 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_forwardCarry out each calculation and give the answer using the proper number of signifi cant fi gures. a. 10.70 × 3.5 b. 0.206 ÷ 25,993 c. 1,300 ÷ 41.2 d. 120.5 × 26arrow_forwardHow many significant figures are reported in measurement of the mass of object shown below? a. 5 significant figures b. 4 significant figures c. 3 significant figures d. 2 significant figuresarrow_forward
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY