For the following exercises, perform the indicated operation and express the result as a

An Introduction to Thermal Physics 1
Problem 16P Suppose you flip 1000 coins. a) What is the probability of getting exactly 500 heads and 500 tails? (Hint: First write down a formula for the total number of possible outcomes. Then, to determine the multiplicity of the 500-500 macrostate, use Stirlings approximation. If you have a fancy

Fundamentals of Statistics 4
The Empirical Rule The following data represent the weights (in grams) of a random sample of 50 M&M plain candies. (a) Determine the sample standard deviation weight. Express your answer rounded to three decimal places. (b) On the basis of the histogram drawn in Section 3.1, Problem 27, comme

Biology 8
\Vhich ofthe following processes includes all others? a. osmosis b. diffusion of a solute across a membrane c. facilitated diffusion d. passive transport e. transport of an ion down its electrochemical gradient

Physical Chemistry 8
A perfect gas undergoes isothermal compression, which reduces its volume by \(1.80\ \mathrm{dm}^3\). The final pressure and volume of the gas are 1.97 bar and \(2.14\ \mathrm{dm}^3\), respectively. Calculate the original pressure of the gas in (a) bar, (b) Torr.

Psychology 5
The prisoners dilemma game illustrates a. in-group favoritism. b. the diffusion of responsibility. c. group polarization. d. the benefits and costs of cooperation.

Urban Economics 8
Using Figure 177 as a starting point, suppose the initial utility-maximizing spending on special education is $5 rather than $25. As before, the lump-sum conditional grant for special education is $20. The income elasticity of demand for special education is 1.0. a. Show the response of the median ho

Chemistry 13
The ground-state electron configurations listed here are incorrect. Explain what mistakes have been made in each and write the correct electron configurations. Al:\(1s^2 2s^2 2p^4 3s^2 3p^3\) B: \(1s^2 2s^2 2p^5\) F: \(1s^2 2s^2 2p^6\)

Chemistry 13
What intermolecular forces exist between molecules of the following substances: (a) HCl, (b) \(\mathrm{F}_{2}\), (c) \(\mathrm{C}_{6} \mathrm{H}_{14}\)?