Problems on Thermal Expansion

1.) There are two narrow tubes filled with liquid to 5 cm. One is filled with water, which has a coefficient of 69 x 10-6/Co. The other is filled with mercury which has a coefficient of 61 10-6/Co. If both tubes are heated by 20 Co, which one will expand more. By how much?









2.) How do thermometers work?∆∆∆





3.) Two pieces of metal of length 0.2 meters are fused together. When both are heated from temperature 20 degrees Celsius to 43 degrees Celsius we observe the length of on metal has gone from 0.2 to 0.20568, and the other has risen to 0.21. What are the coefficients of each metal?






4.) We have been using the equation from linear expansion, but now we want to look at how the volume of a body expands. The equation for volume expansion is ∆V =Vβ∆T. Looks familiar no? β is our coefficient of volume expansion, which is just like α, except instead of in 1 direction, volume expands in 3 directions. In short β = 3α . What would the thermal expansion be for a block of steel (coefficient 11.0 x 10-6/Co) that has a starting volume of 2 cubic meters, if you heat the block up by 200 degrees Celsius?




Extra Credit: On a hot day in Las Vegas, an oil trucker loaded 37,000 liters of diesel fuel. He encountered cold weather on the way to Payson, Utah, where the temperature was 23 degrees Celsius lower than in Vegas, and where he delivered his entire load. How many liters did he deliver? The coefficient for volume expansion for diesel fuel is 9.50 10-4/Co. and the coefficient for the linear expansion of his steel truck tank is11 10-6/Co.