Concept explainers
Determine the density of the following object in
Interpretation:
The density of agiven object in gram per cubic centimeter (
Concept introduction:
The formula for the volume
The relationship between density, volume, and mass is as follows:
Here,
Conversion factors are used to convert units of measurement of the same quantity without changing its value.
Conversion factors are derived from the unity bracket method of unit conversion, which consists of a fraction derived from the equality. The units of the denominator and the numerator are different.
The use of a conversion factor to solve numerical problems is called dimensional analysis.
Answer to Problem 3KSP
Option (a).
Explanation of Solution
Given information:
Thelength of the edge of the cube is
The volume of the cube is given by the expression given below:
Substitute the value of the length of the edge of the cube in the above expression as shown below:
The relation between meter
Thus, the conversion factor to obtain volume in
Multiply the conversion factor with
The calculated volume of the givencube is
The relation between grams
Thus, the conversion factor to obtain mass in
Multiply the conversion factor with
The converted mass of thegiven cube is
The relationship between density, volume, and mass is as follows:
Substitute
So, the density is
Hence, option (a) is correct.
Reasons for incorrect options:
Option (b) is incorrect because, according to the above calculation, the value
Option (c) is incorrect because, according to the above calculation, the value
Option (d) is incorrect because, according to the above calculation, the value
Option (e) is incorrect because, according to the above calculation, the value
Hence, options (b), (c), (d), and (e) are incorrect.
Want to see more full solutions like this?
Chapter 1 Solutions
Chemistry
- Suppose that instead of using the cylindrical rod of Example 1-2 to prepare a 1.000 kgmass we were to use a solid spherical ball of copper What must be the radius of this ball?arrow_forwardWhat is the density of a substance in g/cm^3, if a 0.200cm^3 sample of the metal has a mass of 15,800 micrograms?arrow_forwardAluminum is a lightweight metal (density = 2.70 g/cm3)used in aircraft construction, high-voltage transmissionlines, beverage cans, and foils. What is its density inkg/m3?arrow_forward
- Gypsum is the hydrate of calcium sulfate, CaSO4 · 2 H2O. It is the primary material in sheet rock, used to make walls in houses. If you heat 21.55 g of the hydrate and drive off the water, what is the weight of the anhydrous salt remaining? Report your response to the proper degree of certainty and include the correct unit symbol (i.e., g, mL, km, etc.).arrow_forwardHow many milliosmoles (mOsm) are there in 0.710 Osm? How many square centimeters (cm2) are there in a square kilometer (km2)? A plane travels at Mach 2.5, how long will it take to travel from California to Germany (9112 km)?arrow_forwardWhat is the mass of a cylinder of lead with a radius of 1 centimeter and a height of 3 centimeters, given that the density of lead is 11.4 (g)/(cm^(3))?arrow_forward
- What is the volume of a piece of diamond (ρ = 3.5 g/cm3) that has a mass of 0.65 kg?arrow_forwardAnalytical chemist from Petroleum Development Oman extracted petroleum from crude oil and measured the quantity lost by the extraction to tell how much of the petroleum was. Quantity of Petroleum lost (%):10.8, 11.6, 9.4, 7.8, 9.2, 9.5, 10.6, 11.6Should the value 7.8 be rejected from the set of the above results.arrow_forwardWhat is the density of copper (in g/cm3) if a rectangular bar measuring 0.60 cm in height, 2.04 cm in width, and 12.00 cm in length has a mass of 131.6 g?arrow_forward
- The average micro-nano plastic concentration in bottled water was about 2.4×10^5 particles per liter of bottled water, about 90% of which were nano-sized particles. Assuming that each nanoparticle can be approximated as a sphere with a diameter of 100 nm and that the average density of nanoparticles is 1.2 g/cm^3, estimate the mass of nanoparticles ingested if someone drinks all of their recommended 64 fluid ounces of water per day via bottled water every day for a year. Provide your answer is units of nanograms (ng).arrow_forwardThe diagram on the left represents the result of a process. Which of the diagrams [(i) to (iii)]could represent the starting material if the process were physical, and which could represent the starting material if the change were chemical?arrow_forwardWhat is the mass of 4.00 cm^3 of sodium, with a density of 0.97 g/cm^3?arrow_forward
- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning