Solved: Derivative CalculationsFind the derivatives of all

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

An Introduction to Thermal Physics 1
Problem 32P Find an expression for the entropy of the two-dimensional ideal gas considered in below Problem. Express your result in terms of U, A, and N. Problem: Consider an ideal monatomic gas that lives in a two-dimensional universe (flatland), occupying an area A instead of a volume V. By followi

Physics: Principles with Applications 7
How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, ( ) 3236, and (g) 8700?

Chemistry 11
The annual production of sulfur dioxide from burning coal and fossil fuels, auto exhaust, and other sources is about 26 million tons. The equation for the reaction is \(\mathrm{S}(s)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{SO}_{2}(g)\) How much sul

Quantitative Chemical Analysis 8
In a coulometric Karl Fischer water analysis, 25.00 mL of pure dry methanol required 4.23 C to generate enough I2 to react with the residual H2O in the methanol. A suspension of 0.847 6 g of finely ground polymeric material in 25.00 mL of the same dry methanol required 63.16 C. Find the weight percen

Human Biology 11
Describe the general functions of the following in a eukaryotic cell: the plasma membrane, cytoplasm, DNA, ribosomes, organelles, and cytoskeleton.

Biology: The Dynamic Science 5
Suppose a garden in your neighborhood is filled with red, white, and blue petunias. Explain the floral colors in terms of which wavelengths of light are absorbed and reflected by the petals.

Plant Systematics 3
What are three modifications of leaves found in carnivorous plants.