Calculating Density of a Submerged Object at 0°C | Check My Answer

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In summary, the density of the object that is 14% submerged when floating in water at 0 degrees C is 139.9818, according to the formula set up by the conversation. However, it is important to note that the correct way to calculate this is by dividing 14% by 100% and then multiplying it by the density of water.
  • #1
trickymax301
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I believe I have correct answer, but I'd just like to confirm with others...

Question: What is the density of an object that is 14% submerged when floating in water at 0 degrees C?

density of water at 0 degrees C = 999.87, according to my book

So the formula I set up is...

((density of object)/(density of liquid)) x 100 = % submerged

Filling in the blanks...

((density of object)/(999.87)) x 100 = 14%

Divide the 14 by 100...

((density of object)/(999.87)) = .14

Multiply the density of water by .14 ...

(999.87)(.14) = 139.9818 = density of object

Have I solved this correctly? Thanks for looking this over!
 
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  • #2
Looks OK except you do not multiply the density ratio by 100. You multiply by 100% = 100/100 = 1. When you divide 14% by 100 you get .0014. That is not what you did (fortunately). You divided 14% by 100% and got .14
 
  • #3


I can confirm that your calculations are correct. The density of the object is indeed 139.9818, which means it is less dense than water (since water has a density of 999.87). This explains why the object is floating and only 14% submerged. Your approach and use of the density formula is also accurate. Well done! However, it is always good to double check your work and ask for confirmation, as you have done. Keep up the good scientific practice!
 

FAQ: Calculating Density of a Submerged Object at 0°C | Check My Answer

1. What is the formula for calculating density?

The formula for calculating density is D = m/V, where D is density, m is mass, and V is volume.

2. Can you explain the concept of density?

Density is a measure of how much mass is contained within a certain volume. It is commonly used to describe the compactness or heaviness of a substance.

3. How do I check my density problem?

To check a density problem, you can use the formula D = m/V to calculate the density of the given substance. Then, compare your answer to the accepted density value for that substance. If the values are close, your calculation is likely correct.

4. What units are typically used for density?

Density is commonly measured in grams per cubic centimeter (g/cm3) or kilograms per cubic meter (kg/m3). However, other units such as pounds per cubic inch (lb/in3) or ounces per fluid ounce (oz/fl oz) may also be used depending on the substance.

5. Is density affected by temperature or pressure?

Yes, temperature and pressure can affect the density of a substance. As temperature increases, the volume of a substance may expand, resulting in a decrease in density. Similarly, as pressure increases, the volume of a substance may decrease, resulting in an increase in density.

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