If milk has a density of 1.03 g/mL, what is the mass of 6.00 qt, reported in kilograms?
Oh, well, if my calculations are correct and you have 6.00 quarts of milk, then using the conversion factor of approximately 0.946 liters in one quart, multiplied by the density of milk, it seems you have...one delicious mess! Just kidding! Let's get down to business.
First, let's convert quarts to liters. We have 6.00 quarts, so using the conversion factor, that's approximately 5.68 liters.
Now, to find the mass, we multiply the volume (in liters) by the density (in g/mL). Since there are 1000 grams in a kilogram, we'll divide by 1000 to get the mass in kilograms.
So, 5.68 liters * 1.03 g/mL = 5.85.4 grams.
And finally, 5.85.4 grams / 1000 = 5.85 kilograms (approximately). Ta-da!
But hey, don't despair, you've got plenty of milk to whip up some tasty treats! Enjoy!
To find the mass of 6.00 quarts of milk in kilograms, follow these steps:
1. Convert quarts to milliliters:
- 1 quart = 946.35 mL (approximately)
- Therefore, 6 quarts = 6 * 946.35 mL = 5678.1 mL
2. Convert milliliters to liters:
- 1 liter = 1000 mL
- Therefore, 5678.1 mL = 5678.1 mL / 1000 = 5.6781 L
3. Calculate the mass in grams using the density formula:
- Density (d) = Mass (m) / Volume (V)
- Rearranging the formula, Mass (m) = Density (d) * Volume (V)
- Mass (m) = 1.03 g/mL * 5.6781 L
4. Convert grams to kilograms:
- 1 kilogram = 1000 grams
- Therefore, Mass (m) in kilograms = (1.03 g/mL * 5.6781 L) / 1000
Now, let's calculate the final answer:
Mass (m) in kilograms = (1.03 * 5.6781) / 1000
Mass (m) in kilograms ≈ 0.0058584 kilograms
Therefore, the mass of 6.00 quarts of milk, reported in kilograms, is approximately 0.0058584 kilograms.
To find the mass of milk in kilograms, we need to convert the given quantity from quarts to liters and then calculate the mass using the density. Here's how you can do it step by step:
1. Convert quarts to liters:
- 1 quart (qt) is equal to 0.9464 liters.
- So, to convert from quarts to liters, multiply the quantity (6.00 qt) by 0.9464.
- 6.00 qt * 0.9464 = 5.6784 liters
2. Convert density from g/mL to kg/L:
- Since there are 1000 grams in a kilogram (1 kg = 1000 g) and 1000 milliliters in a liter (1 L = 1000 mL), divide the density (1.03 g/mL) by 1000 to convert it to kg/L.
- 1.03 g/mL / 1000 = 0.00103 kg/L
3. Calculate the mass:
- To find the mass, multiply the volume (in liters) by the density (in kg/L).
- Mass = Volume * Density
- Mass = 5.6784 L * 0.00103 kg/L
- Mass = 0.005850432 kg
Therefore, the mass of 6.00 quarts of milk, reported in kilograms, is approximately 0.00585 kg.
6.00 quarts x (0.946 L/qt) = ? L
?L*1000 = mL in 6 quarts.
1.03 g/mL x number of mL = gram.
Divide by 1000 to convert grams to kg.
Post your work if you get stuck.