What to use when equations require mass but given a volume ?

In summary, the conversation discusses how to solve a question involving equations with mass and volume, and how to convert between different units of measurement. It also clarifies the definition of density and how to calculate mass using density and volume. Finally, the conversation confirms that the answer to the question is 630 seconds.
  • #1
CannonSLX
40
0
In some questions, I've noticed that some questions which relate to equations that involve mass (Kg) and I am given a volume.

e.g
http://gyazo.com/169d40e27c5a14508724cb574635aca8

Know I that Δu=mCΔT, and I know that Δu=400w x t = m x 4200 x 60
and solve for t, but do I assumption that 1Kg = 1 L ?
 
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  • #2
You were given the volume of 1 L and a density of 1 g/cm3.

What's the definition of density?
 
  • #3
rock.freak667 said:
You were given the volume of 1 L and a density of 1 g/cm3.

What's the definition of density?
Mass = Density x Volume

So would I convert the density to kg/m3 which is basically x1000 ?
and so the volume is 0.001m3
 
  • #4
Yes that's correct.

So you multiply the two and you get your mass in kg.
 
  • #5
rock.freak667 said:
Yes that's correct.

So you multiply the two and you get your mass in kg.
Have I done the question correctly ? (ignoring units) Mass = 1kg
400xt=1x4200x60

So the time is 630 seconds ?
 
  • #6
Yes that should be correct.
 
  • Like
Likes CannonSLX

FAQ: What to use when equations require mass but given a volume ?

What is the relationship between mass and volume in equations?

The relationship between mass and volume in equations is known as density. Density is defined as the mass of a substance per unit volume. It is typically measured in units such as grams per cubic centimeter or kilograms per liter.

How do I convert between mass and volume in equations?

To convert between mass and volume in equations, you will need to know the density of the substance in question. You can then use the equation density = mass/volume to solve for the missing variable. Keep in mind that the units of mass and volume must be consistent for the equation to be valid.

What if I am given the density and need to find the mass or volume?

If you are given the density and need to find the mass or volume, you can rearrange the density equation to solve for the missing variable. For example, if you are given density and volume and need to find mass, you would use the equation mass = density x volume.

Do all substances have the same density?

No, all substances have different densities. Density is a physical property of a substance and is influenced by factors such as the type of atoms or molecules present, their arrangement, and temperature and pressure. Therefore, different substances will have different densities even if they have the same mass and volume.

How does the density of a substance affect its behavior?

The density of a substance is an important factor in determining its behavior. For example, substances with lower densities will float on top of substances with higher densities. Density also affects the buoyancy of objects in fluids and the rate of diffusion. In general, substances with higher densities are more compact and have stronger intermolecular forces compared to substances with lower densities.

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