misterwhale1074 misterwhale1074
  • 11-09-2018
  • Physics
contestada

A small airplane takes on 302 l of fuel. If the density of the fuel is 0.821 g/ml, what mass of fuel has the airplane taken on?

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albelicat albelicat
  • 24-09-2018

To calculate the mass of the fuel, we use the formula

[tex]m = V \times  \rho[/tex]

Here, m is the mass of fuel, V is the volume of the fuel and its value is [tex]V =302 \ L =  302 \ L \times \frac{10^{3}m L }{L} = 302 \times 10^{3} \ mL[/tex] and  [tex]\rho[/tex] is the density and its value of  0.821 g/mL.

Substituting these values in above relation, we get  

[tex]m = 302 \times 10^{3} \ mL \times 0.821 g/mL = 247942 g \\\\ m = 247. 94 \ kg[/tex]

Thus, the mass of the fuel 247 .94 kg.

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