Intensive and extensive properties: Difference between revisions

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which is a [[weighted mean]]. Further, if ''V<sub>a</sub>'' = ''V<sub>b</sub>'' then ''V<sub>a + b</sub>'' = ''V<sub>a</sub>'' = ''V<sub>b</sub>'', i.e. the intensive variable is independent of the amount. Note that this property holds only as long as other variables on which the intensive variable depends stay constant.
 
As an example, 60&nbsp;kg of [[lead]], of [[density]] 11.34  g·cm<sup>−3</sup> and 40&nbsp;kg of [[tin]], of density 6.99  g·cm<sup>−3</sup> will combine to form 60 + 40 = 100&nbsp;kg of 60/40 [[solder]] of density <math> \frac{60 \times 11.34 + 40 \times 6.99}{60 + 40}</math> = 9.60 g·cm<sup>−3</sup>
 
In a [[thermodynamic system]] composed of two [[monatomic]] [[ideal gas]]es, ''a'' and ''b'', if the two gases are mixed, the final temperature ''T'' is
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a weighted mean where <math>N_i</math> is the number of particles in gas ''i'', and <math>T_i</math> is the corresponding temperature.
 
Note that you have to measure the amounts in the same unit that was used to calculate the intensive quantity from the extensive quantity. So when you interpolate specific mass, you have to measure the quantities in volume, as specific mass is mass per volume. The formula makes no sense when you measure the quantities in mass (kg).
 
===Examples===