Can I get the solution for these thermodynamics problems?

Recommended Text: Finn's Thermal Physics, third edition (CRC Press, 2017)

X + =_2435624_1&course_id=_53795_1 1 100% + Help ? Problem 1: Short Answers Physicists write the ideal gas law as PV - NKBT, where N is the number of atoms. Chemists, on the other hand, measure in moles: 1 mole of an ideal gas contains Avogadro's number of atoms. 1 mole of anything contains Avogadro's number of the basic unit of that substance, so for example, 1 mole of water contains Avogadro's number of water molecules. Avogadro's number, also known as the Avogadro constant, is 6.02214076 x 1023. (a) If you could count atoms at a rate of 1 atom per second, how many years would it take to count Avogadro's number of atoms? (b) On Saturday, 4 February, the Mt. Washington weather station recorded a temperature of -47 degrees Fahrenheit. What is this in degrees Celsius? In kelvins? (c) At a temperature of 273 K and a pressure of 1 atmosphere, 1 mole of gas takes up a vol- ume of 22.4 L. What is the volume of 1 mole of gas at a reasonable "room temperature" of 295 K? (d) How many moles of gas fit into a 2-liter soda bottle sitting outside on a chilly day at 273 K? (e) Lung capacity varies from person to person, but 6 L is a reasonable average figure. How many molecules are in 6 L of gas at 295 K and 1 atmosphere of pressure? Problem 2: Heating Up Intro Mechanics (a) A mass m hangs at the end of a light, thin rod of length L that is free to swing back and forth, making a pendulum. For small oscillations, frequency of this pendulum is (1) where g is the acceleration due to gravity. Suppose that the rod is heated so that its length increases by 5%. How does the frequency f change? (b) A light, thin rod of length L has a mass m at either end. The rod rotates about its center point with angular speed w. Suppose that it is heated so that its length increases to 1.2L. What is the angular speed after the rod has lengthened?PT X + id=_2435624_1&course_id=_53795_1 2/2 100% + Help ? Problem 3: Adiabats In class, we showed that for an ideal gas, if you plan to pick an atom at random and measure its kinetic energy, the best guess at the answer is (K) = SKBT, (2) 2 where T is the temperature in kelvins and kg is Boltzmann's constant. (The 3 came from the fact that there are three dimensions of space that an atom can move in.) So, the total energy in a gas of N atoms is U = NKBT (3 We saw that for an adiabatic transformation i.e., one where no heat flows into or out of the gas - the product PV5/3 is constant. (a) An ideal gas containing NV atoms at a temperature T is compressed adiabatically from an initial volume V to a final volume V/2. If the initial pressure was P, what is the final pressure? (b) If a gas is made of molecules that contain more than one atom apiece, then the molecules can store additional energy, for example by rotating about their centers of mass. Suppose that for some gas, U = -NKBT. (4) What does an adiabat for this gas look like