Molecular Physics | Thermodynamics Answers

Equation of Mean free path of molecules in a polyatomic gas

A 100 kg mass drop 3 m, resulting in an increased volume in the cylinder of 0.002m^3. the weight and the piston maintain constant gage pressure of 100KPa. Determine the net work done by the gas on surroundings. Neglect all friction

Escape velocity from the Moon is approximately 5500 miles per hour = 2.45 x 103m/s. At certain spots on the surface of the Moon, the temperature of the surface material reaches 800K. Suppose a molecule of hydrogen (m= 3.33x 0-27kg) were to hit the surface of the Moon and reach a speed equal to the root-mean-square (rms) speed for this temperature. `
What would be the velocity or root-mean-square speed (Vrms) of the Hydrogen molecule?
Will the Hydrogen molecule manage to escape?

When 3.00g of water at 100°C changes from the liquid to the gas phase at standard atmospheric pressure, its change in volume is 2.45×10−3m3. The latent heat of vaporisation of water is 2260 kJ/kg.
How much heat must be added to vaporize the water?
How much work is done by the water against the atmosphere in its expansion?
What is the change in the internal energy of the water?

Five pounds per second of fluid enter a steady flow system with P1=100 psia, ρ1=0.2 lb/cu.ft., v1=100 fps, u1=800 BTU/lb. and leave with P2 = 20 psia, ρ2=0.05 lb/cu.ft, v2=500 fps, and u2=780 BTU/lb. During passage through the open system, each pound rejects 10 BTU of heat. Find the work in horsepower.

a) Escape velocity from the Moon is approximately 5500 miles per hour = 2.45 x 103m/s. At certain spots on the surface of the Moon, the temperature of the surface material reaches 800K. Suppose a molecule of hydrogen (m= 3.33x 0-27kg) were to hit the surface of the Moon and reach a speed equal to the root-mean-square (rms) speed for this temperature. `

Escape velocity from the Moon is approximately 5500 miles per hour = 2.45 x 103m/s. At certain spots on the surface of the Moon, the temperature of the surface material reaches 800K. Suppose a molecule of hydrogen (m= 3.33x 0-27kg) were to hit the surface of the Moon and reach a speed equal to the root-mean-square (rms) speed for this temperature. `
What would be the velocity or root-mean-square speed (Vrms) of the Hydrogen molecule?
Will the Hydrogen molecule manage to escape?

When 3.00g of water at 100°C changes from the liquid to the gas phase at standard atmospheric pressure, its change in volume is 2.45×10−3m3. The latent heat of vaporisation of water is 2260 kJ/kg.
How much heat must be added to vaporize the water?
How much work is done by the water against the atmosphere in its expansion?
What is the change in the internal energy of the water?

A round bottom glass flask is filled to the mark with 250cm3 of mercury at 20°C. if the flask and its contents are heated to 40°C, how much mercury will be above the mark?
αglass = 9 x 10-6 °C-1
βmercury = 182 x 10-6 °C-1

Calculate the total amount of energy required to raise the temperature of 30g of ice from -8°C to 75°C.
Specific heat capacity for Ice = 2.1J/g°C
Latent heat of fusion of Ice = 335J/g
Specific heat capacity for Water = 4.2J/g°C