I have a question that I am not sure how to even start. A 15.0 g sample of a liquied has a density of 0.875 g/ml
a what is the voulme in milliters of the liquid? use conversion factors to calculate answer
b. What mass, in grams of the liquid is in 34.6ml of the liquid?
I am just not even sure how to set the problem up.
You're making this too hard.
mass = volume x density
mass = 15.0 g
density = 0.875 g/mL
Substitute and solve for volume.
b.
volume = 34.6 mL
density = 0.875 g/mL.
Substitute and solve for mass.
What user drbob22 is trying to explain is that if you follow the equation you get your answer for instance on part b. he explains what the volume and the density is, if you put it in calculations you then get 30.275 round that off and your answer should be 30.3 grams.
That didn't help drbob22
To solve both parts of this problem, we'll need to use conversion factors. Conversion factors allow us to convert between different units of measurement. In this case, we'll be converting between grams (g) and milliliters (mL) using the density of the liquid.
Let's start with part (a):
a. What is the volume, in milliliters, of the liquid?
Given:
- Mass = 15.0 g
- Density = 0.875 g/mL
To find the volume (V), we can rearrange the density formula:
Density = Mass/Volume
Volume = Mass/Density
Using the values we have:
Volume = 15.0 g / 0.875 g/mL
Now, to cancel out the units correctly, we use the conversion factor: 1 mL/1 g.
We use this conversion factor because it allows us to cancel out the grams (g) and have the result in milliliters (mL).
So, the setup for part (a) would be:
Volume = 15.0 g * (1 mL/0.875 g)
Now, let's solve the equation:
Volume = 15.0 * (1/0.875) mL
To calculate the answer, simply divide 15.0 by 0.875 and multiply the result by 1.
Volume = 17.14 mL
Therefore, the volume of the liquid is 17.14 mL.
Moving on to part (b):
b. What mass, in grams, of the liquid is in 34.6 mL of the liquid?
Given:
- Volume = 34.6 mL
- Density = 0.875 g/mL
To find the mass (M), we use the formula:
Mass = Density * Volume
Using the values we have:
Mass = 0.875 g/mL * 34.6 mL
To cancel out the units correctly, we'll multiply by the conversion factor: 1 g/1 mL.
So, the setup for part (b) would be:
Mass = 0.875 g/mL * 34.6 mL * (1 g/1 mL)
Now, let's solve the equation:
Mass = 0.875 * 34.6 * 1 g
To calculate the answer, simply multiply 0.875 and 34.6 together.
Mass = 30.27 g
Therefore, the mass of the liquid in 34.6 mL is 30.27 g.