A 50.0 g silver object is added to 75.5 mL of water contained in a graduated cylinder. The density of silver is 10.5 g/mL. What is the total volume in the graduated cylinder?
What is TCC?
mass of silver/density of silver = volume of silver
volume of silver + volume of water = total volume
To find the total volume in the graduated cylinder, we need to consider the volume of water and the volume of the silver object separately and then add them together.
First, let's find the volume of the silver object. We know that the density of silver is given as 10.5 g/mL, and the mass of the silver object is 50.0 g. We can use the density formula to find the volume:
Density = Mass/Volume
By rearranging the formula, we can solve for the volume:
Volume = Mass/Density
So, the volume of the silver object is:
Volume = 50.0 g / 10.5 g/mL
Volume = 4.76 mL (rounded to two decimal places)
Next, we need to add this volume to the volume of water in the graduated cylinder. The volume of water provided is given as 75.5 mL.
So, the total volume in the graduated cylinder is:
Total Volume = Volume of Water + Volume of Silver Object
Total Volume = 75.5 mL + 4.76 mL
Total Volume = 80.26 mL (rounded to two decimal places)
Therefore, the total volume in the graduated cylinder is approximately 80.26 mL.