The number converted is [tex]0.0467 \frac{(kg)(s)}{m^3}[/tex]
Explanation:
In order to convert from the original units to the final units, we have to keep in mind the following conversion factors:
[tex]1 kg = 1000 g = 10^6 mg[/tex]
[tex]1 min = 60 s[/tex]
[tex]1 m^3 = 1000 L[/tex]
The original unit that we have is
[tex]\frac{mg\cdot min}{L}[/tex]
Therefore, it can be rewritten as:
[tex]=\frac{mg \frac{1}{10^6 mg/kg}\cdot min\cdot 60 s/min}{L\frac{1}{1000L/m^3}}=0.06 \frac{(kg)(s)}{m^3}[/tex]
Therefore, since the initial number was 0.779, the final value is
[tex]0.779\cdot 0.06 \frac{(kg)(s)}{m^3}=0.0467 \frac{(kg)(s)}{m^3}[/tex]
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