a) Lipitor, a pharmaceutical drug that has been shown to lower \"bad\" cholester
ID: 884292 • Letter: A
Question
a) Lipitor, a pharmaceutical drug that has been shown to lower "bad" cholesterol levels while raising "good" cholesterol levels in patients taking the drug, had over $11 billion in sales in 2006. Assuming one 1.0-g pill contains 6.5% of the active ingredient by mass, what mass in kg of active ingredient is present in one bottle of 50 pills?
b) A parsec is an astronomical unit of distance where 1 parsec = 3.26 light years (1 light year equals the distance traveled by light in one year). If the speed of light is 186,000 mi/s, calculate the distance in meters of an object that travels 3.0 parsecs.
c) A column of liquid is found to expand linearly on heating. Assume the column rises 5.25 cm for a 10.0oF rise in temperature. If the initial temperature of the liquid is 99.7oF, what will the final temperature be in oC if the liquid has expanded by 19.5 cm?
d) A 25.00-g sample of a solid is placed in a graduated cylinder, and then the cylinder is filled to the 50.0-mL mark with benzene.The mass of benzene and solid together is 55.01 g. Assuming that the solid is insoluble in benzene and that the density of benzene is 0.880 , calculate the density of the solid.
Explanation / Answer
a)
one pill is having 1.0 g then 50 pills is having
= 1 x 50 = 50 g
1 gram is having active ingradiat is 6.5 % = 6.5/100 = 0.065
50 gram will have active ingradiant = 0.065 x 50 = 3.25 gram
b)
given data c= 186,000 mi/s if you convert in to milesper year
1 mile per second = 31 556 926 miles per year
= 5865696000 milesper year
3 x 3.26 x 5865696000 1.609344 km/mile x 1000 m/km = 9.23 x 1013 m
c) L/ L0 x T = constant
5.25/10 = 19.5/T
T = 37.1428 ºF
T2-T1 = 37.1428 ºF
T2 = 99.7 ºF + 37.1428 ºF
T2 = 136.8428 ºF
T2 = 58.25 º
d)
we have to use density = mass / volume
solide = 25.00 g, volume = 50.0 mL, mass = 55.01 g
55.01 = 25.00 + density x volume
where density is given directly, volume = total volume - volume of the solide
55.01 = 25 + 0.880 x(50 - volume of the solide)
volume of the solide = 15.90 mL
now density = mass/volume
= 25 / 15.9 = 1.5723 g/ ml
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