Concept explainers
A two-gram sample of a red-colored liquid is found to have a volume of four cubic centimeters. Calculate the liquid’s density using the following uncertainty specifications, and express your answers in scientific notation.
- a. 2.00 g and 4.000 cm3
- b. 2.000 g and 4.0 cm3
- c. 2.0000 g and 4.000 cm3
- d. 2.000 g and 4.0000 cm3
(a)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are three and four respectively, the fewest significant figures here is three, hence the answer obtained too has a significant figure of three.
The density is
(b)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are four and two respectively, the fewest significant figures here is two, hence the answer obtained too has a significant figure of two.
The density is
(c)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are five and four respectively, the fewest significant figures here is four, hence the answer obtained too has a significant figure of four.
The density is
(d)
Interpretation:
If
Concept Introduction:
Density is a physical property and specific for each substance under fixed conditions. It is defined as the ratio of mass of a substance to the volume of the substance. If the answer obtained using the above density formula has to be expressed as a scientific notation, the operational rule can be applied here, which states that the number of significant figures in the answer after solving a multiplication or division problem is same as the number of fewest significant figures present in the measurement.
Answer to Problem 2.100EP
The density is
Explanation of Solution
Density can be calculated using the below formula.
Since the significant figures for mass and volume are four and five respectively, the fewest significant figures here is four, hence the answer obtained too has a significant figure of four.
The density is
Want to see more full solutions like this?
Chapter 2 Solutions
General, Organic, and Biological Chemistry
- Consider a buffer solution that contains 0.55 M NH2CH2CO2H and 0.35 M NH2CH2CO2Na. pKa(NH2CH2CO2H)=9.88. a. Calculate its pH. b. Calculate the change in pH if 0.155 g of solid NaOH is added to 250 mL of this solution. c. If the acceptable buffer range of the solution is ±0.10 pH units, calculate how many moles of H3O+ can be neutralized by 250 mL of the initial buffer.arrow_forwardDetermine the molarity of 3.72 moles of NaBr in 575mL of solution. (MM NaBr= 102.89 g/mol) Report your answer to 3 significant figures. Do not include the unit when writing your answer.arrow_forwardHow many liters (L) of a 5.0% (m/v) glucose solution would you need to obtain 75 g of glucose? A. 1500 mL В. 1.5 L C. 1.0 L D. 3.75 L E. 3.80 Larrow_forward
- If 4.00 L of ethyl alcohol at 18.0 ⁰C is exposed to a temperature of 25.0 ⁰C, what is the resulting volume? (Alcohol: β = 1100x10⁻⁶ / ⁰C) * a. 4.03 L b. 4.31 L c. 0.308 L d. 0.0308 Larrow_forwardUsing the figure, answer the following questions.a. What is the molar composition of the vapor in equilibrium with a boilingliquid that has a composition of 60% A and 40% B?b. A sample of vapor has the composition 50% A and 50% B. What is the composition of the boiling liquid that produced this vapor?arrow_forwardNow calculate the slope and equation for the best fit line. You may use excelarrow_forward
- Using the table above, make the following unit conversions. Determine this by moving the decimal point the appropriate number of places. 1. 25 μL mL 8. 8500 µL = 2. 3 L = µL 9. 64 TL = GL 3. 150 cL = dL 10. 120000 nL = µL 4. 5000 pL = nL 5. 75 L = kL 6. 800 nL = cL 7. 6 hL = ML In addition to being able to convert among different units of measurement, geneticists also need toarrow_forwardWhat is the concentration in % (w/v) of a solution prepared from 50.0 g NaCl and 2.5 L of water? A. 5.0 % B. 2.0 % O C. 0.020 % D. 0.050 % E. 0.50 %arrow_forwardHow many grams of NaOH would you need to make 3,982 mL of a 3 M NAOH solution (m.w. = 40.00 g/mol)? Report your answer in the requested units to the nearest 2 decimal places (Example "40.02"). Do not report the units in your answer; enter the numbers only. It is recommended that you do not round between calculation steps.arrow_forward
- BSA Concentration (ug/mL) Abs 2000 2.25 1500 1.715 1000 0.915 750 1.156 500 0.714 250 0.082 125 0.086 25 0.082 Create a BSA standard curve Abs562=f[BSA] using a Scatter Plot representation in Excel.arrow_forwardA physician has ordered 5 gr of a medication. It is available in solution form as 20 gr per fl oz. How many fl oz should you give? How many cc would you give? How many minims would this be?arrow_forwardYou are to prepare capsules that contain 0.125 g of a drug. You have four partial containers of medicatiog, which weigh 3.2 g, 1.784 g, 2.46 g, and 5.87 g. Assume you have weighed each of the four containers with the same scale, and the accuracy is known to the hundredth gram. a Which amount will need to be rounded? b. Which amount is not as accurate as it should be? c. What is the amount of the medication that will be left over after making as many 0.125 g capsules as possible?arrow_forward