Show that the entropy of a two-state paramagnet, expressed

Introductory Chemistry 5
Determine the number of moles of \(\mathrm{H}\) in each sample. (a) \(4.67 \mathrm{~mol} \mathrm{H}_{2} \mathrm{O}\) (b) \(8.39 \mathrm{~mol} \mathrm{NH}_{3}\) (c) \(0.117 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{H}_{4}\) (d) \(35.8 \operatorname{mol} \mathrm{C}_{10} \mathrm{H}_{22}\)

College Physics 1
Problem 1CQ Models are particularly useful in relativity and quantum mechanics, where conditions are outside those normally encountered by humans. What is a model?

Physics: Principles with Applications 6
A heavy rainstorm dumps 1.0 cm of rain on a city 5 km wide and 8 km long in a 2-h period. How many metric tons (1 metric ton = 103 kg) of water fell on the city? [\(1\ \text{cm}^3\) of water has a mass of \(1\ \text{gram}=10^{-3}\ \text{kg}\).] How many gallons of water was this?

Chemistry 11
Calculate the vapor pressure of a solution made by dissolving 82.4g of urea (molar mass = 60.06 g/mol)in 212 mL of water at 35C. What is the vapor-pressure lowering?

Campbell Biology 9
The cerebral cortex plays a major role in all of the following except a. short-term memory. b. long-term memory. c. circadian rhythm. d. foot-tapping rhythm. e. breath holding.

Modern Chemistry: Student Edition 2006 1
In gas stoichiometry problems, what is the bridge between amount in moles and volume?

Single Variable Essential Calculus: Early Transcendentals 2
Evaluate the integral using integration by parts with the indicated choices of u and dv \(\int \theta \cos \theta d \theta ; \quad u=\theta, d v=\cos \theta d \theta\).

Principles of Economics 9
According to the efficient markets hypothesis, a. excessive diversification can reduce an investors expected portfolio returns. b. changes in stock prices are impossible to predict from public information. c. actively managed mutual funds should generate higher returns than index funds. d. the stock