You are carrying a 3.4 gallon jug full of cold water. Given that the water has a density of 1.0 grams per milliliter, and one gallon is equal to 3.8 liters, state the mass of the water in kilograms.
To find the mass of the water in kilograms, we need to convert the volume of water in gallons to liters, and then multiply it by the density of water.
First, let's convert the volume from gallons to liters:
1 gallon is equal to 3.8 liters. Since you have a 3.4 gallon jug, the volume of water is 3.4 gallons * 3.8 liters/gallon = 12.92 liters.
Next, we multiply the volume (in liters) by the density (in grams per milliliter) to find the mass (in grams):
Mass = Volume * Density
Mass = 12.92 liters * 1000 grams/liter (since there are 1000 milliliters in each liter)
Mass = 12,920 grams
Finally, we convert the mass from grams to kilograms:
Mass in kilograms = Mass in grams / 1000
Mass in kilograms = 12,920 grams / 1000 = 12.92 kilograms
Therefore, the mass of the water in the 3.4 gallon jug is approximately 12.92 kilograms.
3.8 L=3.8x10^-3 m^3
D=1 g/mm^3 =1000 kg/m^3
m=DxV=1000 x 3.8x10^-3=3.8 kg