Bottle A has a volume of 1.2 L, When Filled with sugar water the bottle has a total mass of 5.0 pounds. If the empty bottle has a mass of 800 grams. determine the density of the sugar water in g/mL.
To determine the density of the sugar water in g/mL, you need to calculate the mass and volume of the sugar water.
First, convert the empty bottle mass from grams to pounds:
800 grams * 0.00220462 pounds/gram = 1.763 pounds
Next, subtract the empty bottle mass from the total mass to obtain the mass of the sugar water:
5.0 pounds - 1.763 pounds = 3.237 pounds
To convert the mass from pounds to grams:
3.237 pounds * 453.592 grams/pound = 1469.268 grams
Now, you need to convert the volume of the bottle from liters to milliliters:
1.2 L * 1000 mL/L = 1200 mL
Finally, divide the mass of the sugar water by its volume to find the density:
Density = mass/volume
Density = 1469.268 grams / 1200 mL
The density of the sugar water is approximately 1.225 grams/mL.