Molecular Physics | Thermodynamics Answers

The equation of motion of classical harmonic oscillator is expressed by x=asin(omega)t.Show that probability of finding the particle between x and x+dx is given by,

P(x) dx=(dx)÷ (π√[d^2-x^2])

a balloon takes up 625L of helium at STP, if it is heated to 80.1°C, what will its new volume be to make it pressure constant

There is 2 * 10 ^ 3 m ^ 3 of gas inside a cylindrical vessel with movable piston. The gas temperature is -23 Celsius degrees. The temperature is increased to 227 Celsius degrees with constant pressure. What is the dependence of gas's volume as a function of its temperature? How many times the gas density at lower temperature is bigger than the gas density at higher temperature ?

Topic: Linear Expansion Experiment


List down 2 sources of error in the experiment and suggested solution for these.

Answer the question in 3 to 4 sentences.


Topic: Linear Expansion


1. What is the relationship between the change in length and change in the temperature of a body.

A 32.4 L sealed cylinder contains 120. moles of helium gas at 44.8 atm. What iis its temperature (in Celsius)?

Data Analysis. Using Archimedes' principle of buoyancy, analyze and complete the following data obtained in an experiment. (2 points each)

WEIGHT OF METAL ON AIR: 1.47 N

LIQUID APPARENT LOSS OF VOLUME OF DENSITY BUOYANT WEIGHT WEIGHT LIQUID FORCE (N) (N) DISPLACED (N)

(m3)

OF THE LIQUID (kg/m3)

Water

1.32 N

(25)

(26)

1 000 kg/m3

(27)

Olive Oil

(28)

0.138 N 1.53 x 10-6 m2 920 kg/m3

(29)

DENSITY OF THE METAL: (30)

A steel railroad track has a length of 40 m when the temperature is -3◦C. What is the increase in the length of the rail on a hot day when the temperature is 31◦C? The linear expansion coefficient of steel is 11 × 10−6 (◦C)−1.Answer in units of m. 2.)Suppose the ends of the rail are rigidly clamped at -3◦C to prevent expansion. Calculate the thermal stress in the rail if its temperature is raised to 31◦C. Young’s modulus for steel is 20 × 1010 N/m2.Answer in units of N/m2.

An automobile tire having a temperature of 7.1◦C (a cold tire on a cold day) is filled to a gauge pressure of 26 lb/in2. What would be the gauge pressure in the tire when its temperature rises to 38◦C? For simplicity, assume that the volume of the tire remains constant, that the air does not leak out and that the atmospheric pressure remains constant at 14.7 lb/in2.Answer in units of lb/in2

The temperature of 350 g of water changed from 20oC to 30 oC. How much heat did this sample

absorb? Cp for water = 4.18 J/goC