three separate questions
1. An empty graduated cylinder weighs 82.450 g. When filled to 50.0 mL, with an unknown liquid it weighs 110.810 g. What is the density of the unknown liquid?
2. It is valuable to know that 1 milliliter (mL) equals 1 cubic centimeter (cm^3) or cc.). How many cubic centimeters are in an 8.00 oz bottle of cough medicine? (1.00 oz=29.6 mL.)
3. A metal sample weighs 56.8 g. How many ounces does this sample weigh?
(1 lb=16 oz)
Please HELP and please show the work. I am very bad in math and I don't know what to do?
Thank you very much
mass unknown liquid = 110.810-82.450 = ?g
volume = 50.0
density = mass/volume = ?
8 oz x (29.6 mL/1.00 oz) = ? mL
56.8g x (1 lb/453.59 g) x (16 oz/lb) = ? oz.
Check my work.
2.0 oz
1. To find the density of the unknown liquid, we can use the formula:
Density = Mass / Volume
First, let's find the mass of the liquid. We subtract the initial weight of the empty graduated cylinder from the weight when it is filled with the unknown liquid:
Mass of the liquid = Weight of the liquid - Weight of the empty cylinder
= 110.810 g - 82.450 g
= 28.360 g
Next, we need to calculate the volume of the liquid. We are given that the graduated cylinder is filled to 50.0 mL. Therefore, the volume is 50.0 mL.
Density = Mass / Volume
= 28.360 g / 50.0 mL
= 0.5672 g/mL
So, the density of the unknown liquid is 0.5672 g/mL.
2. We are given that 1 mL is equal to 1 cubic centimeter (cm^3) or cc. We are also given that 1.00 oz is equal to 29.6 mL.
To find how many cubic centimeters (cc) are in an 8.00 oz bottle of cough medicine, we can use the given conversion:
1 oz = 29.6 mL
So, 8.00 oz is equal to:
8.00 oz * 29.6 mL/oz = 236.8 mL
Since 1 mL is equal to 1 cc, we can say that:
236.8 mL = 236.8 cc
Therefore, there are 236.8 cubic centimeters (cc) in an 8.00 oz bottle of cough medicine.
3. We are given that 1 lb is equal to 16 oz. We need to find how many ounces a metal sample weighing 56.8 g weighs.
First, let's convert the weight of the metal sample from grams to pounds. We know that 1 lb is equal to 16 oz, and 1 lb is approximately 454 g:
Weight in pounds = Weight in grams / (454 g/lb)
= 56.8 g / 454 g/lb
≈ 0.125 lb
Now, let's convert the weight from pounds to ounces:
Weight in ounces = Weight in pounds * (16 oz/lb)
= 0.125 lb * 16 oz/lb
= 2 oz
Therefore, a metal sample weighing 56.8 g weighs approximately 2 ounces.
1. To find the density of the unknown liquid, we can use the formula:
Density = mass/volume
First, let's calculate the mass of the liquid by subtracting the weight of the empty graduated cylinder from the weight of the cylinder filled with the liquid:
mass of liquid = weight of cylinder filled with liquid - weight of empty cylinder
mass of liquid = 110.810 g - 82.450 g
mass of liquid = 28.360 g
Next, substitute the values into the formula:
Density = mass/volume
Density = 28.360 g / 50.0 mL (or cm^3)
So, the density of the unknown liquid is 0.567 g/mL (or g/cm^3).
2. We are given that 1 milliliter (mL) equals 1 cubic centimeter (cm^3). We are also given that 1.00 oz is equal to 29.6 mL. We need to find how many cubic centimeters are in an 8.00 oz bottle of cough medicine.
First, let's convert the 8.00 oz to milliliters using the given conversion factor:
8.00 oz * 29.6 mL/1 oz = 236.8 mL
Now we know that there are 236.8 milliliters in an 8.00 oz bottle of cough medicine. Since 1 mL is equal to 1 cm^3, this means there are also 236.8 cubic centimeters (cm^3) in the same bottle.
3. We are given that 1 lb is equal to 16 oz, and we are asked to find how many ounces a metal sample weighing 56.8 g would be.
First, we need to convert grams to pounds. We can do this by using the fact that 1 lb is equal to 453.6 g:
56.8 g * 1 lb/453.6 g = 0.125 lb
Now we know that the metal sample weighs 0.125 lb. Since 1 lb is equal to 16 oz, we can calculate the weight of the metal sample in ounces:
0.125 lb * 16 oz/1 lb = 2 oz
Therefore, the metal sample weighs 2 ounces.