Question

in an experiment you weighed 0.500 gallon of milk and found the weight, not including the container, to equal 1.9674 kg. how many pounds does 1.00 gallon of milk weigh?

Answer 1

To find the weight of 1.00 gallon of milk, you double the weight of 0.500 gallon, which is 1.9674 kg, giving 3.9348 kg. Then convert this weight to pounds using the factor of 2.205 pounds per kilogram, resulting in 8.6761 pounds for 1.00 gallon of milk.

Step-by-step explanation:

The student's question asks how much 1.00 gallon of milk weighs, knowing that 0.500 gallon weighs 1.9674 kg. To find the weight of 1.00 gallon, we can use the proportional relationship derived from the given information. Since 0.500 gallon is half a gallon, then 1.00 gallon, which is twice as much, should weigh twice as much as well. To convert the mass from kilograms to pounds, we use the conversion factor of 1 kg equals approximately 2.205 pounds.

Firstly, we calculate the weight for 1.00 gallon in kilograms:

• Weight of 1.00 gallon = 2 * Weight of 0.500 gallon = 2 * 1.9674 kg
• Weight of 1.00 gallon = 3.9348 kg

Now, we convert the weight from kilograms to pounds:

• Weight of 1.00 gallon in pounds = 3.9348 kg * 2.205 pounds/kg
• Weight of 1.00 gallon in pounds = 8.676094 pounds

We round the final answer to match the number of significant figures provided in the mass of the milk, which is five significant figures:

• Weight of 1.00 gallon in pounds ≈ 8.6761 pounds