Molecular Physics | Thermodynamics Answers

1. A golfer takes three putts to get the ball into the hole. The first put displaces the ball 3.66m north, the second 1.83m southeast, and the third 0.99m southwest. What are
I. Magnitude, and
II. The direction of the displacement needed to get the ball into the hole on the first putt.

What fraction of applied heat is converted to work on the surroundings by air expanding isobarically against a piston.

Helium is expensive so when it boils off the superconducting magnet in magnetic resonance
imaging (MRI) scanners, it is collected and recycled. As a part of the recycling process, the
monatomic He gas is first isothermally compressed by a factor of 4, then isochorically cooled to
140 K. Suppose we start with 40.0 L of the gas in the collecting bag at room temperature (300 K)
and atmospheric pressure.
The number of moles of the gas is closest to :
A. 0.8
B. 1.6
C. 2.4
D. 3.2
E. 4.0

Derive how Sackur Tetrode eqution is free from Gibbs Paradox?

A tube contains a 2m layer of olive oil floating above a 1.5m layer of water in turn floats above a 0.5m layer of mercury the upper layer is exposed to the pressure of the atmosphere of 1.01×10^5 N/m^2. What is the absolute pressure of the bottom of the mercury

Some hot water was added to 3times it's mass of water at 10oC and the result in temperature was 20oC. What was the temperature of the hot water?

80 cm3 of hydrogen are collected at 15oC and 75 cm of Mercury pressure. What is it's volume at s.t.p?

A thick walled steel cylinder used for storing compressed air is fitted with a safety valve which lifts at a pressure of 1.0x106 N/m2. It contains air at 17oC and 0.8x106 N/m2. At what temperature will the valve lift?

A 1 meter tube, closed at one end, is immersed in water completely. What is the open air pressure if the water rises 9 cm in the tube? Assume temperature remains constant.

Two cars start off to race with velocities v1 and v2 and travel in a straight line with uniform acceleration a1 and a2 respectively. If the race ends in a dead heat ( i.e they reach the finishing point at the same time) Prove the length of the course is

2(v1-v2)(v1a2-v2a2)/(a1-a2)^2