Unit Conversions: kJ/mol to kJ/litre

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To convert 4163 kJ/mol of energy from a substance with a molar mass of 86.14 g/mol to kJ/L, the density of the substance (0.6548 g/mL) must be used. The conversion begins by multiplying 4163 kJ/mol by the conversion factor of 1 mol/86.14 g, resulting in 4163 kJ/86.14 g. This value is then multiplied by the density to yield 31.64 kJ/mL. To convert to kJ/L, this result is multiplied by 1000, giving 31645.4 kJ/L, although this value is inconsistent with the known heat of combustion for hexane, which is 29.3 kJ/L. The discrepancy suggests a possible misunderstanding regarding the units, potentially indicating a need to consider megajoules per liter instead.
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Let's say I have 4163 kJ/mol of energy coming from a substance with molar mass 86.14g/mol. How would I convert the 4163 kJ/mol of energy to kJ/litre?

Thanks.
 
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clintyip said:
Let's say I have 4163 kJ/mol of energy coming from a substance with molar mass 86.14g/mol. How would I convert the 4163 kJ/mol of energy to kJ/litre?

Thanks.

You'll need to also know the density (g/L) of the substance.
 
gneill said:
You'll need to also know the density (g/L) of the substance.

The density of this substance is 0.6548 g/mL.
 
your answer wants kJ on top, so you start with 4163 kJ/mol .
You multiply by a number that has moles on top , so they cancel.
but now there's something else on the bottom,
so you multiply by a number that has grams on top . then you're done.
 
But I don't have a number with mols on top o_o
 
Conversion factor

\frac {86.14 g} {1 mol}

can be reversed to

\frac {1 mol} {86.14 g}

The idea is that conversion factor equals 1, switching nominator and denominator doesn't change the value, although it moves units.
 
Borek said:
Conversion factor

\frac {86.14 g} {1 mol}

can be reversed to

\frac {1 mol} {86.14 g}

The idea is that conversion factor equals 1, switching nominator and denominator doesn't change the value, although it moves units.

That means, I can multiply 4163kj/mol by 1/86.14g, which then I get 4163kJ/86.14g.
Then I multiply this number by the density. So 4163kJ/86.14g x 0.6578g/mL
which equals to 31.64 kJ/mL

Is that right?
 
clintyip said:
I can multiply 4163kj/mol by 1/86.14g, which then I get 4163kJ/86.14g.

To be precise by 1 mol/86.14g, but I guess it is just a typo.

Then I multiply this number by the density. So 4163kJ/86.14g x 0.6578g/mL
which equals to 31.64 kJ/mL

Is that right?

OK so far, but you are not there yet - you need to convert it to kJ/L. But that's the simplest part.
 
Borek said:
To be precise by 1 mol/86.14g, but I guess it is just a typo.



OK so far, but you are not there yet - you need to convert it to kJ/L. But that's the simplest part.

Don't I just multiply it by 1000? So I get 31645.4 kJ/L.

But the thing is, this substance is Hexane, and according to Wikipedia, it has a heat of combustion of 29.3 kJ/L. The two numbers aren't even remotely close.
 
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clintyip said:
Don't I just multiply it by 1000? So I get 31645.4 kJ/L.

Yes.

But the thing is, this substance is Hexane, and according to Wikipedia, it has a heat of combustion of 29.3 kJ/L. The two numbers aren't even remotely close.

Obviously what they mean is MJ/L, otherwise their numbers are not consistent. As much as I like wikipedia, it is hardly a definite source.
 
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