Assignment "Temperature, Kinetic Theory, and Heat"

Please solve the following problems. You must show all work. Submit in Word Doc.

#1. A diamond has a mass of 56.6 g and the gold ring in which it is set has a mass of 125.6 g. How many carbon atoms are there compared to gold atoms?

#2. On a warm summer day in California it can get as hot as 115^oF, and on some cold winter days it can get as cold as -20^oF. What are these temperatures in Celsius?

#3. An aluminum sphere is 5.50 cm in radius. What is its volume expansion coefficient if it increases in volume 2.00 cm³ when heated from 100^oC to 151^oC?

#4. Carbon 12 is defined such that 12g is one mole. So if a diamond is 37.5 g, how many moles of carbon are in it? How many molecules of carbon are in it?

#5. 400 L of water is at 4^oC. If it took a heat source 600 seconds to heat this up to 6^oC, what is the power rating of the heater?

#6. A 95g cup of tea at 85^oC is poured into a 1.25 L large tub of water at 30^oC . What is the equilibrium temperature?

#7. 150 g of ice at -10.5^oC is raised to the melting point and then raised to 76.0^oC. How much heat is added to the system?

#8. A distant star is 7000 K and radiates 1.20 x10²⁷ W. What is the star’s radius? Assume = 1.0.