A railroad track that is made of individual rails of steel measures 1.36 km in length during a hot day. at 30.9°C. By what length have these increased from a cold day when the temperature is· 10.8°C? The coefficient of volume expansion of steel is 36x10-6/c°.

ΔL = the change in length, a = the coefficient of linearexpanision for material, L= org. lenth, Δt- change intemperature.

1. A 10,000 meter steel railroad track with a coefficient oflinear expansion of 12 x 10^-6 per degreeCelsius changestemperature from 18 deg. C to 38 degree C. By how many meters willthe railraod tracks expand?

2. why do you think railroad tracks are segmented into shortpieces?

A brass cube, 10 cm on a side, is raised in temperature by200^oC. The coefficient of volume expansion of brass is57 x 10^-6/C^o. By what percentage is any oneof the 10-cm edges increased in length?

1 ) A 3.5 m length of copper pipe extends directly from a hot-waterheater in a basement to a faucet on the first floor of a house. Ifthe faucet isn't fixed in place, how much will it rise when thepipe is heated from 20.0° C to 85.9° C. The coefficient of linearexpansion for copper is 1.6 10-5 K-1. Ignore any increase in thesize of the faucet itself or of the water heater. unit in mm

2 ) Steel railroad tracks of length L = 18.20 m are laid at 10.0°C. How much space should be left between the track sections if theyare to just touch when the temperature is T = 49.5° C? unit inmm

3 ) Find the mass (in kg) of one molecule of sodium chloride(NaCl). unit in kg