Part 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).

Problem 2. Perfect Gas. In an automobile engine, a mixture of air and vaporized gasoline is compressed in the cylinders before being ignited. Typically, the volume of the mixture is compressed to 1/9th of its original volume (i.e., Vf  = Vi/9) while the amount of gasoline (n) is kept constant. Assuming perfect gas law behavior, what is the final temperature of the compressed gas if the initial temperature is Ti = 27.0° C, the initial pressure is Pi = 1.00 atm, and the final pressure is Pf = 21.70 atm? Express your answer in both the Kelvin and Celsius temperature scales. (Note: the ratio 9.00 to 1.00 is called the compression ratio.). Remember, all calculations in thermodynamics are done in an absolute temperature scale, for example, Kelvin (K). Hint: Using the perfect gas law, solve for nR in terms of P, V, and T. Using this equation, write two equations—one for the initial uncompressed state and one for the final compressed state. Setting the two equations equal to each other, use…

parts d & e only

450g of water is heated in a pot from 22°C to 62°C. The water has a specific heat capacity of 4190 J/kg*K. What is the amount of thermal energy/heat transferred to the water to increase the temperature?

Note: Round off your answer up to 3 decimal places.  Input only the numerical value. Researchers are conducting a study to quantity the thermal conductivity of a composite material. A square box is made from 838 cm2 sheets of the composite insulating material that is 2.8 cm thick. A 201 W heater is placed inside the box. Sensors attached to the box show that the interior and exterior surfaces of one face have reached the constant temperatures of 81°C and 38°C. What is the thermal conductivity in W/m-K?