One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?

A spherical shell has inner radius 3.00 cm and outer radius 7.00 cm. It is made of material with thermal conductivity k = 0.800 W/m C. The interior is maintained at temperature 5C and the exterior at 40C. After an interval of time, the shell reaches a steady state with the temperature at each point within it remaining constant in time. (a) Explain why the rate of energy transfer P must be the same through each spherical surface, of radius r, within the shell and must satisfy dTdr=P4kr2 (b) Next, prove that 5dT=P4k0.030.07r2dr where T is in degrees Celsius and r is in meters. (c) Find the rate of energy transfer through the shell. (d) Prove that 5TdT=1.840.03rr2dr where T is in degrees Celsius and r is in meters. (e) Find the temperature within the shell as a function of radius. (f) Find the temperature at r = 5.00 cm, halfway through the shell.

In 1993, the U.S. government instituted a requirement that all room air conditioners sold in the United States must have an energy efficiency ratio (EER) of 10 or higher. The EER is defined as the ratio of the cooling capacity of the air conditioner, measured in British thermal units per hour, or Btu/h, to its electrical power requirement in watts. (a) Convert the EER of 10.0 to dimensionless form, using the conversion 1 Btu = 1 055 J. (b) What is the appropriate name for this dimensionless quantity? (c) In the 1970s, it was common to find room air conditioners with EERs of 5 or lower. State how the operating costs compare for 10 000-Btu/h air conditioners with EERs of 5.00 and 10.0. Assume each air conditioner operates for 1 500 h during the summer in a city where electricity costs 17.0 per kWh.

art 2: Problem Solving Questions     P 1 (thermodynamics).  What energy is required to convert a 3.00 g cube of ice at 213.15 K to liquid water at 355.15 K  ?.       (constants: specific heat for ice is 2090.0 J/kg⋅°C,  latent heat of fusion of ice is 3.33⋅105 J/kg,  specific heat for water is 4186.0 J/kg⋅°C).

A 900 g copper rod at 20 degrees celcius has a length of 1.0000 m. The thermal expansion coefficient of copper is 17 x 10^-6 degrees celcius -1. The specific heat capacity is 0.385 kJ/kg degrees celcius.  Question A: The copper is heated to 400 degrees celcius. What is the new length? Give the answer in meters and with 4 digits of precision after the decimal.  Question B: The hot copper is then quenched by dunking the entire rod in a bucket with 10 kg of water at 20 degrees celcius. The specific heat capaciy of water is 4.18 kJ/kg degrees celcius. If none of the water turns to steam what is the equilibrium temp of the copper rod and water? Please give the answer in degrees celcius Question C: You measure the equilbrium temp and find that it is 24 degrees celcius. If the latent heat of vaporization of water is 2,260 kJ/kg, what mass of water turned to steam? Answer in grams