Astudent carried heated a 25.00 g piece of aluminum to a temperature of 100°c, and placed it in 100.00 g of water, initially at a temperature of 10.0°c. determine the final temperature of the system (aluminum and water). useful data: the specific heat of water is 4.18 j/(g°c) the specific heat of aluminum is 0.900 j/(g°c)

The final temperature of the system is 14.6 °C

Explanation:

Step 1: Data given

mass of the aluminium = 25.00 grams

mass of the water = 100.00 grams

Initial temperature of aluminium = 100 °C

Initial temperature of water = 10.0 °C

Specific heat of water = 4.18 J/g°C

Specific heat of aluminium 0.900 J/g°C

Step 2: Heat transfer

Loss of Heat of the Metal = Gain of Heat by the Water

Qmetal = -Qwater

m(aluminium) * C(aluminium) * ΔT(aluminium) = - m(water) * C(water) * ΔT(water)

25*0.900*(T2-100) = - 100*4.18 * ( T2 - 10)

2250 - 22.5T2 = 418T2 - 4180

T2 =14.6 °C

The final temperature of the system is 14.6 °C

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).