Respuesta :
Explanation:
It is known that density is the mass present in per unit volume.
Mathematically, Â Â Â Â Density = [tex]\frac{mass}{volume}[/tex]
Since, it is given that [tex]d_{1}[/tex] is 1.18 [tex]kg/m^{3}[/tex], [tex]d_{2}[/tex] is 5.30 [tex]kg/m^{3}[/tex], and volume is 2 [tex]m^{3}[/tex].
Therefore, mass of air that has entered will be [tex]m_{2}[/tex] - Â [tex]m_{1}[/tex] and it will be calculated as follows.
            [tex]d_{2} - d_{1}[/tex] = [tex]\frac{m_{2} - m_{1}}{Volume}[/tex]
   [tex]m_{2} - m_{1}[/tex] = [tex](5.30 kg/m^{3} - 1.18 kg/m^{3}) \times 2 m^{3}[/tex]
                      = 8.24 kg
Thus, we can conclude that mass of air that has entered the tank is 8.24 kg.
