Many hot water heating systems have a reservoir tank connected directly to the pipeline, to allow for expansion when the water becomes hot. The heating system of a house has 76 m of a copper pipe whose inside radius is 9.5 x 10^ -3 m. When the water and pipe are heated from 24 Celcius to 78 Celcius, what must be the minimum volume of the reservoir tank to hold the overflow of water?

When the temperature of a coin is raised by 82 °F, the coin's diameter increases by 2.20 x 10-5 m. If the original diameter is 2.15 x 10-2 m, find the coefficient of linear expansion.

You have a cylindrical beverage container that has been sitting in your hot car all day, and it has heated up to a temperature of 50.0°C. It will now be placed into your refrigerator to cool down by natural convection. The air temperature inside your refrigerator is 4.0°C (assume P = 1.00 atm). Based on this initial condition, calculate whether you should place the beverage container standing upright, or laying on its side in order to cool it faster. The beverage container has a diameter of 65.0mm, and a height of 100.0mm; ignore any end effects and radiation.

The gauge pressure in your car tires is 3.00 ✕ 105 N/m2 at a temperature of 35.0°C when you drive it onto a ship in Los Angeles to be sent to Alaska. What is their gauge pressure (in atm) later, when their temperature has dropped to  −42.0°C?  Assume the tires have not gained or lost any air. ____atm??

During an all-night cram session, a student heats up a 0.807 liter (0.807 x 10- 3 m3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 15.5 °C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 98.0 °C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?

When heating water for cooking food, it is common to use an electric or natural-gas cooktop. A metal pot with radius r=0.11m is filled with water to a depth of h=0.16m and heated on such a cooktop. The water is initially at a temperature of T0=25∘C.  a. Enter an expression for the amount of heat required to raise the temperature of the water to its boiling point of Tv=100∘C in terms of r, h, T0, Tv, ρ and c.  b. Calculate the amount of heat, in joules, required to raise the temperature of the water to its boiling point. Water has a density of ρ=1.000×103kg/m3 and a specific heat of c=4.186×103J/(kg⋅∘C) c. According to the U.S. Energy Information Administration, the average cost of electricity in the U.S. is about $0.10 per kilowatt-hour, or $0.028 per megajoule of electrical energy. Assuming all the electrical energy goes into heating the water on the cooktop, how much does it cost, in dollars, to heat the pot of water with electricity? Ignore the heat required to raise the temperature…

During an all-night cram session, a student heats up a 0.304 liter (0.304 x 10- 3 m3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.3 °C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 96.9 °C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?