90.0 ml of h2o is initially at room temperature (22.0∘c). a chilled steel rod at 2.0∘c is placed in the water. if the final temperature of the system is "21.1" ∘c, what is the mass of the steel bar? specific heat of water = 4.18 j/g⋅∘cspecific heat of steel = 0.452 j/g⋅∘c

The steel bar weighs 39.014 grams

Explanation:

Heat lost by water = - heat gained by steel

m(water) = 90 grams

m(steel) = TO BE DETERMINED

specific heat of water = 4.18 J/g°C

specific heat of steel = 0.452 J/g°C

Initial temperature T1 water = 22°C

Final temperature T2 water = 21.1 °C

Initial temperature T1 steel = 2°C

Final temperature T2 steel = 21.1°C

Heat transfer = m*Cp*ΔT

with Cp = specific heat

with ΔT = Change of temperature = T2 - T1

m(water) * Cp(water) * ΔT(water) = m(steel) *Cp(steel) *ΔT(steel)

90g * 4.18 * ( 21.1 - 22) = -m(steel) * 0.452 * (21.1-2)

-338.58  = - m(steel)*8.6784

m(steel) = 39.014 grams

The steel bar weighs 39.014 grams

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most historians agree that gabriel mouton, the vicar of st. paul’s church in lyons, france, is the “founding father” of the metric system. he proposed a decimal system of measurement in 1670. mouton based it on the length of one minute of arc of a great circle of the earth (now called a nautical mile, 1852 meters). he also proposed the swing-length of a pendulum with a frequency of one beat per second as the unit of length (about 25 cm). a pendulum beating with this length would have been fairly easy to produce, thus facilitating the widespread distribution of uniform standards. over the years, his work was revised, improved, and extended by a number of french scientists.

the political sponsor of weights and measures reform in the french revolutionary national assembly was the bishop of autun, better known as talleyrand. under his auspices, the french academy appointed several committees to carry out the work of developing a usable system of weights and measures for france. one of the committees recommended a decimalized measurement system based upon a length equal to one ten-millionth of the length of a quadrant of the earth’s meridian (i.e., one ten-millionth of the distance between the equator and the north pole).