Conversion Problems for chemistry?
1. Wire is often sold in pound spools according to the wire gauge number. That number refers to the diameter of the wire. How many meters are in a 10-lb spool of 12-gauge aluminum wire? A 12-gauge wire has a diameter of 0.0808 in. Aluminum has a density of 2.70 g/cm^3? (V = (pi)r^2(length))
2. Air is 21% oxygen by volume. Oxygen has a density of 1.31 g/L. What is the volume, in liters, of a room that holds enough air to contain 55 kg of oxygen?
3. In the old pharmaceutical system of measurements, masses were expressed in grains. There are 5.760 x 10^3 grains in 1 lb. An old bottle of aspirin lists 5 grains of active ingredient per tablet. How many milligrams of active ingredient are there in the same tablet.
The answers are in the back of the book I just need to know the work for solving them, or at least how to start them.
1.
(10 lbs)(0.45359237 kg/lb)(1000 g/kg)(cm³ / 2.70g) = π(0.0808in)²(l) ⇒
l = (10 lbs)(0.45359237 kg/lb)(1000 g/kg)(cm³ / 2.70g) / [π(0.0808in)²(2.54 cm/in) = 32200m
2.
(55 kg)(1000 g/kg)(L / 1.31g) / (0.21) = 200000L
3.
(5 grains)(lb / 5.760×10³ grains)(453592.37 mg/lb) = 393.7mg
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