Suppose a meter stick made of steel and one made of aluminum are the same length at 0°C. What is their difference in length at 87.1°C? Express your answer in mm, to at least one digit after the decimal point.

A cylindrical glass flask with a diameter of 8 cm and the height of 20 cm is fully filled with water at 20°C. When the temperature of the water (and consequently the inner surface of the flask) is raised to 100° C, determine the volume of the water that overflows? HINT 1: Don't forget to calculate the initial volume of the water and flask HINT 2: The volume expansion coefficient for ordinary glass and water can be found in the table of Week 4 (Slide #20). HINT 3: Calculate the volume expansions for both water and the flask HINT 4: The difference between the final volume of water and the final volume of the flask is the amount of overflow. PLEASE UPLOAD YOUR HANDWRITTEN SOLUTION BY CLICKING ON THE "ADD A FILE" BUTTON.

A highway is made of concrete slabs that are 16.2 m long at 20.0°C. Expansion coefficient of concrete is α = 12.0 × 10−6 K−1. If the temperature range at the location of the highway is from −20.0°C to +36.9°C, how large are the gaps at −20.0°C? in mm

A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at 100°C, and that of the far end of the aluminum rod is held at 0°C. If the copper rod is 0.96 m long, what must be the length of the aluminum rod so that the temperature at the junction is 50°C?

A silver block, initially at 56.9 ∘C∘C, is submerged into 100.0 gg of water at 24.1 ∘C∘C, in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 27.4 ∘C∘C.     What is the mass of the silver block? Express your answer to two significant figures and include the appropriate units.

A certain amount of gas at 25.0°C and at a pressure of 0.650 atm is contained in a glass vessel. Suppose that the vessel can withstand a pressure of 2.00 atm. How high can you raise the temperature of the gas without bursting the vessel? In other words, at what temperature will the glass vessel shatter, in degrees Celsius.

Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same length (1.00 m) at 0°C. The coefficients of volume expansion for steel and invar are 3.6 × 10-5 /°C and 2.7 × 10-6 /°C respectively. apparently, you need to use the volume expansion formula below & have B=3a. have no idea how to turn the length into a volume for this problem. have no idea what value alpha is...