Concept explainers
(a)
Interpretation:
Calculate the body weight and the body volume of the man.
Concept introduction:
Archimedes’ Principle is defined as:
The upward buoyant force that is exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces or weight of the body immersed in a fluid.
This can be rewritten as,
Buoyant force (up) = Weight of block (down)
The specific gravity of the liquid is 0.996.
(b)
Interpretation:
Assume the body can be divided into nonfat and fat components. Derive an expression for the ratio of the mass of fat to mass of the whole body.
Concept introduction:
Assume the body can be divided into nonfat and fat components and the following notations are defined,
Fraction of total body mass that is fat =
Average density of the whole body =
Density of the fat component =
Density of the nonfat component =
Mass of the fat component =
Mass of the body =
Volume of the fat component =
Volume of the body =
This problem can be solved by, first derive expressions for the three densities then eliminate volumes algebraically so you can approach the final answer.
(c)
Interpretation:
Calculate the fraction of fat in a human body for the given case.
Concept introduction:
Assume the body can be divided into nonfat and fat components. The fraction of fat can be calculated using the following relationship.
Where,
Fraction of total body mass that is fat =
Average density of the whole body =
Density of the fat component =
Density of the nonfat component =
(d)
Interpretation:
Improve the estimation of
Concept introduction:
Assume the body can be divided into nonfat and fat components. The fraction of fat can be calculated using the following relationship.
Where,
Fraction of total body mass that is fat =
Average density of the whole body =
Density of the fat component =
Density of the nonfat component =
The above relationship includes the gas in tract, sinuses and lungs. The total volume is 1.4 liters. Assume that the mass of gas is negligible.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 3 Solutions
EBK ELEMENTARY PRINCIPLES OF CHEMICAL P
- A graduated cylinder weighs 28.66 grams when empty and 35.27 grams when filled with water at 4oC. Calculate the volume that the water occupies.arrow_forwardIn an experiment, a student was asked to measure the densities of liquid acetone and metallic chromium. He was given a pycnometer which weighed 26.880 g empty. When filled with water and stoppered, the mass was recorded as 54.992g at 28C. The pycnometer was cleaned and filled with acetone. The mass was 49.137 g. Again, the flask was cleaned and dried. Into it were added some chunks of chromium and the total was found to weight 78.666 g. Leaving the chromium in the pycnometer, it was then filled with acetone. The flask, metal and acetone were found to weigh 95.199 g. From this data, calculate the density of acetone and the density of chromium (show all your calculations).arrow_forwardAccording to the following combustion reaction, pure methanol liquid undergoes complete combustion with excess oxygen. If 39.92 liters, L of pure carbon dioxide, CO2 (water removed) was recovered at STP, how many milliliters, mL of methanol, CH3OH must have reacted? The density of liquid methanol is 0.792 g/mL. Just give the numerical value. The assumption is the answer is in milliliters, mL. Reaction: 2 CH3OH(1) + 3 O2(g) 4 H20(g) + 2 CO2{g) -->arrow_forward
- When an object with an electric charge of −3.0μC is 8.0cm from an object with an electric charge of 6.0μC, the force between them has a strength of 25.28N. Calculate the strength of the force between the two objects if they are 24.cm apart. Round your answer to 2 significant digits.arrow_forwardB is a weak base with Kp = (4.11x10^-9). What is the percent ionization of a (7.060x10^-1) M solution of B? Enter your answer in scientific notation with 3 sig figs. Do not include any units in your answer. Do not round any intermediate calculations. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answerarrow_forwardA common unit of pressure is the Pascal, Pa, which is equivalent to Newton per meter squared (N/m2). The common English unit for pressure is psi or pounds per square inch. Convert 101.325 kPa to psi if 1 Newton is equivalent to 0.224808943 pounds. Remember a squared value is a unit multiplied by itself (in2 = in x in).arrow_forward
- You are checking the accuracy of a volumetric flask marked 10.00 mL. To Measurement Volume (mL) calculate the volume of water contained in the flask, you first measure the mass 1 10.047 of the empty flask and the mass of the flask filled with water and take the 10.052 difference. Then, you correct for the buoyancy factor and divide by the density of 3 10.022 the water. The result of 8 such measurements is given in the table. 4 10.047 Calculate the mean and the 95% confidence interval for these measurements. 5 10.024 10.016 7 10.065 8 10.024 mean: mL 95% confidence interval: + mL Can you, with 95% confidence, say that the nominal value of 10.00 mL can be the true volume of the flask? no yesarrow_forwardA river pollutant is found to have a concentration of 0.0031 % m/v. If the density of the river water is 1.183 g/ml, what is the concentration of the pollutant in ppm? Proper rounding of your answer is required.arrow_forwardWhich of the following deviations from the experiment could cause a decrease in the calculated mass of Mg(s)? Not accounting for the vapor pressure of water. Using a beaker with a wider diameter. Incorrectly recording the barometric pressure. Using a eudiometer of different length. Overview of the experiment:arrow_forward
- A glass vessel weighed 20.2376 g when empty and 20.3102 g when filled to an etched mark with water at 4 °C. The same was dried and filled to the same mark with a solution at 4 °C. The vessel was then found to weigh 20.3300 g. What is the density of the solution?arrow_forward(a) A solution of 20.91 % by weight H2SO4 has a specific gravity of 1.150. What is the normality of this solution? (b) Water is added to dilute this solution to a solution of 3.03% by weight H2SO4 (SG= 1.020). What is the new normality of the resulting solution and how were they mixed? (Assume 100 mL of the original solution was used.)arrow_forwardAn atom of xenon has a radius Ixe 108. pm and an average speed in the gas phase at 25°C of 137.m/s. Suppose the speed of a xenon atom at 25°C has been measured to within 1.0%. Calculate the smallest possible length of box inside of which the atom could be known to be located with certainty. Write your answer as a multiple of Ix and round it to 2 significant figures. For example, if the smallest box the atom could be in turns r Xe out to be 42.0 times the radius of an atom of xenon, you would enter "42.1" as your answer. Xe Xe Continue 1 62°F Rain F2 F3 F4 x10 X Q Search 30 F5 S S F6 L 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center = C 0 M F7 8 F8 DELL) F9 prt sc F10 Submit As home endarrow_forward
- Introductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305079250/9781305079250_smallCoverImage.gif)