A backpacker carries 3.0L of white gas as fuel for her stove. How many pounds does the fuel add to her load? Assume the density of white gas to be .79 g/cm^3
mass = volume x density
mass = 0.79g/cc x 3000 cc = g fuel.
Convert that to pounds. The easy way to do that is to use google. You can do it manually too; 453.59 grams in a pound.
Thanks so much!
5.2lb
To determine the weight of the white gas in pounds, we need to follow these steps:
Step 1: Convert the volume from liters to cubic centimeters (cm^3).
Since 1 liter is equal to 1000 cubic centimeters, we can multiply the volume in liters by 1000 to get the volume in cm^3.
3.0L * 1000 cm^3/L = 3000 cm^3
Step 2: Convert the density from grams per cubic centimeter (g/cm^3) to pounds per cubic inch (lb/in^3).
To convert from grams to pounds, we need to use the conversion factor of 1 pound = 453.592 grams. To convert from cubic centimeters to cubic inches, we need to use the conversion factor of 1 cubic inch = 16.3871 cubic centimeters.
First, let's convert the density from g/cm^3 to g/in^3:
.79 g/cm^3 * 1 lb/453.592 g * (1/16.3871)^3 in^3/cm^3 = 0.036128 lb/in^3
Step 3: Calculate the weight of the white gas in pounds.
To find the weight, we multiply the volume in cubic inches (from Step 1) by the density in pounds per cubic inch (from Step 2).
Weight = Volume * Density
Weight = 3000 cm^3 * 0.036128 lb/in^3
Now, let's convert the volume from cm^3 to in^3:
3000 cm^3 * (1/16.3871)^3 in^3/cm^3 = 183.65 in^3
Plugging the values into the formula:
Weight = 183.65 in^3 * 0.036128 lb/in^3
Calculating the weight:
Weight ≈ 6.64 pounds
Therefore, the white gas fuel adds approximately 6.64 pounds to the backpacker's load.