a graduated cylinder has a mass of 50.35g when empty. If 20mL of mercury with a density of 13.6g/mL is added to the graduated cylinder, what will be the total mass of the cylinder and mercury?
(20*13.6)+50.35=?
you need to change mL to grams and use conversions
To find the total mass of the cylinder and mercury, we need to calculate the mass of the mercury and then add it to the mass of the empty cylinder. We'll follow these steps:
Step 1: Find the mass of the mercury.
Since we know the volume and density of the mercury, we can calculate its mass using the formula:
Mass = Volume * Density
The volume of the mercury is given as 20 mL, and the density of mercury is 13.6 g/mL, so we can substitute these values into the formula:
Mass = 20 mL * 13.6 g/mL
Step 2: Calculate the mass.
Multiply the volume (20 mL) by the density (13.6 g/mL):
Mass = 272 g
So, the mass of the mercury is 272 grams.
Step 3: Find the total mass.
Finally, we can determine the total mass by adding the mass of the empty cylinder (50.35 grams) to the mass of the mercury (272 grams):
Total mass = Mass of cylinder + Mass of mercury
Total mass = 50.35 g + 272 g
Calculating this, we get:
Total mass = 322.35 g
Therefore, the total mass of the graduated cylinder and mercury is 322.35 grams.