Molecular Physics | Thermodynamics Answers

One mole of oxygen at STP is adiabatically compressed to 5 atm. Calculate the final temperature. Take y = 1.4 and R= 8.31 J mol^-1 K^-1

A poorly ventilated commercial kitchen contains 120 kg of air at a temperature of 19°C and and with a relative humidity of 30% at the start of the evening shift.

At the end of the shift the temperature in the kitchen is 28°C and water is condensing on the walls and ceilings.

What is the minimum amount of water vapour that has been added to the air in the kitchen over the course of the shift? (to 2 s.f and in kg)

A physics student takes a 5.0-kg pail of water connected on a rope, and swings it in a vertical circle of radius 90.0 cm at a constant speed of 7.0 m/s.
Figure 1 1.2.1 When the pail passes its highest point, what are the magnitude and direction of its acceleration? [5] 1.2.2 When the pail passes its highest point, what is the tension in the rope? [5] 1.3 One day, the air near Earth’s surface at the Polokwane airport has a uniform density of 1.20 kg/m3, and the absolute pressure at ground level is 99.8 kPa. 1.3.1 What force magnitude does the air pressure produce perpendicular to a horizontally oriented surface of area 1.00 m2 [4] 1.3.2 At increasing elevation above ground level, the pressure (choose from: increases; decreases or does not change) [2] 1.3.3 Calculate the absolute pressure at an elevation of 1.00 km above the Polokwane airport that day.

A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 above ground on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 × 103kg/m3. Find the difference in pressure between the main line and the second floor.

In one line simple sentence for each, state four implications of Newton's first law of motion

when the temperature of a radiated block body increases the maximum intensity of radiation
1) shift towards the largest wavelength
2)shift towards the shorter wavelength
3)remains unaffected
4)depends on the ambient temperature

Name the processes that comprise a Carnot cycle. Prove that its efficiency is maximum and always less than one.

Starting with the equation of motion, prove that the phase space of a linear harmonic oscillator is elliptical.

Two identical gas systems, each containing 0.1 mole of ideal gas, are at 300 K and 3 atm pressure. One system is allowed to expand adiabatically and the other isothermally, till both attain normal pressure. Show that the volume of adiabatically expanded
system is less than the isothermally expanded system. The ratio of the heat capacities of the gas is
1.4.

Using the expression for the partition function of an N-particle ideal gas, obtain the expression for its entropy