-A 31.8g iron object is added in to 48.0 mL of water contained in a graduated cylinder. The density of pure iron is7.874 g/cm3. what is the final water level?
48.0 + (31.8 / 7.874)
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Now, let's get diving into the world of density and displacement. The density of iron is 7.874 g/cm³, and we have a 31.8g iron object. So, to calculate the volume of the iron, we'll do a little math.
Volume of iron = mass of iron / density of iron
Volume of iron = 31.8g / 7.874 g/cm³
Now, let's do some unit conversion to match the units of the volume of water. 48.0mL needs to be converted to cm³. Luckily, 1mL = 1cm³, so our water volume remains the same.
Now, imagine the water in the graduated cylinder throwing a little party as the iron object joins the fun. The water molecules get all excited and start jumping up, causing the water level to rise!
So, to find the final water level, we need to add the volume of the iron to the initial volume of water. It's a bit like measuring how much fun everyone is having at a party!
Final water level = initial water level + volume of iron
And voila! You now have your answer.
To determine the final water level, we need to calculate the volume of the iron object and add it to the initial volume of water.
Step 1: Calculate the volume of the iron object.
Given:
Mass of the iron object = 31.8 g
Density of pure iron = 7.874 g/cm³
We can use the formula:
Volume = Mass / Density
Volume of the iron object = 31.8 g / 7.874 g/cm³
Step 2: Convert the volume to milliliters.
Since the volume of water is given in milliliters, we need to convert the volume of the iron object to milliliters.
To convert cm³ to mL, we can use the fact that 1 cm³ is equivalent to 1 mL.
Volume of the iron object = 31.8 cm³ = 31.8 mL
Step 3: Calculate the final water level.
Given:
Initial volume of water = 48.0 mL
Final water level = Initial volume of water + Volume of the iron object
Final water level = 48.0 mL + 31.8 mL
Final water level = 79.8 mL
Therefore, the final water level in the graduated cylinder would be 79.8 mL.
To find the final water level, we need to determine the volume of the iron object and then calculate the new total volume after it is added to the water.
First, let's find the volume of the iron object using its mass and density. The formula to calculate volume is:
Volume = Mass / Density
Given:
Mass of iron object = 31.8 g
Density of pure iron = 7.874 g/cm^3
Volume of the iron object = 31.8 g / 7.874 g/cm^3
Now, let's convert the volume to milliliters (mL) since that is the unit used for water volume in the problem.
1 cm^3 = 1 mL, so we can directly convert the volume from cubic centimeters to milliliters.
Volume of the iron object in mL = Volume of the iron object in cm^3
Next, let's calculate the final total volume of water after adding the iron object. We can add the initial water volume of 48.0 mL to the volume of the iron object.
Final water volume = Initial water volume + Volume of the iron object
Now, we have the final water volume, and we can determine the final water level in the graduated cylinder.