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

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When dealing with equations that require mass but provide volume, it's essential to use the relationship between mass, density, and volume. The formula Mass = Density x Volume is key, with density often given in g/cm³, which can be converted to kg/m³ by multiplying by 1000. In this case, with a volume of 1 L (or 0.001 m³) and a density of 1 g/cm³, the mass calculates to 1 kg. The example provided confirms that using these conversions leads to the correct time calculation of 630 seconds. Understanding these conversions is crucial for accurately solving such problems.
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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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You were given the volume of 1 L and a density of 1 g/cm3.

What's the definition of density?
 
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
 
Yes that's correct.

So you multiply the two and you get your mass in kg.
 
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 ?
 
Yes that should be correct.
 
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