Question

Air has a density of 0.001226 g/ml. What volume of air would have a mass of 1.0 lb? How do I arrive at 3.7 x 10^2 l? I understand the math but not how to put it in scientific notation.

Answer 1

3.6999 x 10^2 l.

Step-by-step explanation:

To find the volume of air with a mass of 1 lb, we can use the density formula:

Density = Mass divided by Volume

Rearranging the formula to solve for volume:

Mass / Density = Volume

Given that the density of air is 0.001226 g/ml, and we want to find the volume of 1 lb of air, we can substitute the following values into the equation:

(1 pound) / (0.001226 g/ml)

To convert pounds to grams, 1 pound equals 453.59 grams.

Volume = 453.59 g/0.001226 g/ml = 369,988.6 ml

Now we can convert from milliliters to liters. 1 liter equals 1,000 milliliters.

Volume = 369.99 l/1000 = 369,988.6 ml

To express it in scientific notation, you can use a factor of 10 to represent the decimal place. You move the decimal point of the number to the left or right until you have only one non-zero digit to the left of the decimal point.

369.99 l = 3.6999 x 10^2 l

So the volume of 1 lb of air is 3.6999 x 10^2 l.