Chapter 25: Problem 29
If untreated, fevers of \(104^{\circ} \mathrm{F}\) or higher may lead to brain damage. Why?
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Chapter 25: Problem 29
If untreated, fevers of \(104^{\circ} \mathrm{F}\) or higher may lead to brain damage. Why?
These are the key concepts you need to understand to accurately answer the question.
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The "melting point" of a DNA molecule is the temperature at which the double- helical strand breaks apart. Suppose you are given two DNA samples. One sample contains 45 percent C-G base pairs while the other contains 64 percent C-G base pairs. The total number of bases is the same in each sample. Which of the two samples has a higher melting point? Why?
The average distance between base pairs measured parallel to the axis of a DNA molecule is 3.4 Ã… (see Figure 25.19 ). The average molar mass of a pair of nucleotides is \(650 \mathrm{~g} / \mathrm{mol} .\) Estimate the length in centimeters of a DNA molecule of molar mass \(5.0 \times\) \(10^{9} \mathrm{~g} / \mathrm{mol}\)
Vinyl chloride, \(\mathrm{H}_{2} \mathrm{C}=\mathrm{CHCl}\), undergoes copolymerization with 1,1 -dichloroethylene, \(\mathrm{H}_{2} \mathrm{C}=\mathrm{CCl}_{2},\) to form a polymer commercially known as Saran. Draw the structure of the polymer, showing the repeating monomer units.
Molar mass measurements play an important role in characterizing polymer solutions. Number-average molar mass \(\left(\bar{M}_{n}\right)\) is defined as the total molar mass (given by \(\Sigma N_{i} M_{i}\) ) divided by the total number of molecules: $$ \bar{M}_{n}=\frac{\Sigma N_{i} M_{i}}{\Sigma N_{i}} $$ where \(N_{i}\) is the number of molecules with molar mass \(M_{i}\). Another important definition is the weightaverage molar mass \(\left(\bar{M}_{w}\right)\) where $$\bar{M}_{w}=\frac{\Sigma N_{i} M_{i}^{2}}{\Sigma N_{i} M_{i}}$$ The difference between these two definitions is that \(\bar{M}_{w}\) is based on experimental measurements that are affected by the size of molecules. (a) Consider a solution containing five molecules of molar masses \(1.0,3.0,4.0,4.0,\) and \(6.0 \mathrm{~kg} / \mathrm{mol} .\) Calculate both \(\bar{M}_{n}\) and \(\bar{M}_{w}\). (b) \(\bar{M}_{w}\) is always greater than \(\bar{M}_{n}\) because of the square term in the definition. However, if all the molecules have identical molar mass, then we have \(\bar{M}_{n}=\bar{M}_{w} .\) Show that this is the case if we have four molecules having the same molar mass of \(5 \mathrm{~kg} / \mathrm{mol} .\) (c) Explain how a comparison of these two average molar masses gives us information about the distribution of the size of synthetic polymers like polyethylene and poly(vinyl chloride). (d) Proteins like myoglobin and cytochrome \(c\) have the same \(\bar{M}_{n}\) and \(\bar{M}_{w},\) while this is not the case for hemoglobin. Explain.
In Chapter 12 you learned about the colligative properties of solutions. Which of the colligative properties is suitable for determining the molar mass of a polymer? Why?
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