Dr. Aniruddha Chakraborty

School of Basic Sciences

Indian Institute of Technology Mandi

Kamand, Himachal Pradesh 175005

India

ph: +(91)1905-237930

achakrab

** Quiz 1** <<back** Introduction to Molecular Thermodynamics (CY247)**

1. (a) Write out all the ways (microstates) to distribute 2 quanta of energy

to 4 paricles, grouping these microstates into distinct distributions.

(b) How much more probable is to find two particles each with one quantum

of energy than finding a single particle with both quanta?

2 A jar contains one blue ball, one green ball, one red ball, and three orange

balls. What is the probability that a ball drawn at random

(a) will be green?

(b) will be orange?

(c) will not be blue?

3. A system initially containing 2.0 mol. of H2O, 1.0 mol. of D2O, and 2.0

mol. of HDO is allowed to exchange Hydrogen for Deuterium. Determine

the amounts of H2O, D2O and HDO expected at equilibrium?

4. Simple probability governs the equilibirium positions of chemical systems

and the number of heads and tails you can toss with a coin. Why does

normal chemical system never seem to fluctuate from its equilibrium position but if you flip a coin 100 times you expect that you might not get

exactly 50 heads and 50 tails?

5. “Determining equilibirium amounts based solely on probability has the

advantage that we do not have to worry about there being more then one

equilibrium at work ”- Justify.

6. “Equilibrium constants describe the most probable distribution ” -Justify.

7. “Le Chatelier’s principle is based on probability” - Justify.

8. How probable is the most probable distribution? Explain with examples.

Upcoming National Conference (19 - 20 November, 2018) Current trends in Chemistry: Experiment & Theory.

Convener: Dr. Aniruddha Chakraborty, Coordinator: Ms. Moumita Ganguly & Co-coordinator: Ms. Swati Mudra.

Upcoming International Conference (7-8 June, 2019) on Biology Inspired Physics: Experiments & Theory.

Convener: Dr. Aniruddha Chakraborty & Coordinator: Ms. Moumita Ganguly.

Dr. Aniruddha Chakraborty

School of Basic Sciences

Indian Institute of Technology Mandi

Kamand, Himachal Pradesh 175005

India

ph: +(91)1905-237930

achakrab