A. how many grams of H2SO4 are in 3.5 liters of 2.0 M H2SO4 b. how many liters of 2.0 M H2SO4 would be made from 3 liters of water. (Hint water has a density of 1g per mL.)

a. 686g of H2SO4 are present.

b. 3.321L would be made

Explanation:

a. Molarity, M, is an unit of concentration defined as the ratio between moles of solute (In this case H2SO4) and liters of solution. The moles of H2SO4 in 3.5L of 2.0M H2SO4 are:

3.5L * (2.0mol H2SO4 / L) = 7.0 moles H2SO4

The mass is obtained using molar mass of H2SO4 -98g/mol-:

7.0 moles H2SO4 * (98g / mol) = 686g of H2SO4 are present

b. The density of H2SO4 is 1.83g/mL. The volume of 2.0M H2SO4 per liter of solution is:

2.0mol H2SO4 / L * (98g / mol) * (1mL / 1.83g) = 107mL of H2SO4 are present per liter of solution. In 3L there are:

3L  (107mL / L) = 321mL = 0.321L of H2SO4 must be added to 3L of water to produce 2.0M H2SO4. The total volume is:

3L + 0.321L = 3.321L would be made

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).