Ethanol turbine

How much power can we get if we pour ethanol on a mini turbine from a height of 1.5 m
Volume Ethanol 0.2 m³. How much work does ethanol do? The casting time is 1.9 minutes. The density of ethanol is 789 kg/m².

Correct answer:

W =  2322.027 J
P =  20.3687 W

Step-by-step explanation:

$$\begin{gathered} h=1.5\text{m} \\ V=0.2{\text{m}}^3 \\ t=1.9\text{min}\to \text{s}=1.9\cdot 60\text{s}=114\text{s} \\ \rho =789{\text{kg/m}}^3 \\ g=9.81{\text{m/s}}^2 \\ m=\rho \cdot V=789\cdot 0.2=\frac{789}{5}=157.8\text{kg} \\ W=m\cdot g\cdot h=157.8\cdot 9.81\cdot 1.5=2322.027\text{J} \end{gathered}$$

$P=W/t=2322.027/114=20.3687\text{W}$

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