4. Calculate the density of gasoline which occupies 150cm^3 of space and has a mass of 102 g. 5. If 325 g of mercury of density 13.6gcm^-3 occupies a certain space determine the volume of the space. 6. Calculate the relative density of gasoline using the density of mercury as the base quantity for the comparison.

4. To calculate the density of gasoline, we can use the formula:<br /><br />Density = Mass / Volume<br /><br />Given:<br />Mass of gasoline = 102 g<br />Volume of gasoline = 150 cm^3<br /><br />Density = 102 g / 150 cm^3<br />Density = 0.68 g/cm^3<br /><br />Therefore, the density of gasoline is 0.68 g/cm^3.<br /><br />5. To determine the volume of the space occupied by mercury, we can use the formula:<br /><br />Volume = Mass / Density<br /><br />Given:<br />Mass of mercury = 325 g<br />Density of mercury = 13.6 g/cm^3<br /><br />Volume = 325 g / 13.6 g/cm^3<br />Volume = 23.87 cm^3<br /><br />Therefore, the volume of the space occupied by mercury is 23.87 cm^3.<br /><br />6. To calculate the relative density of gasoline using the density of mercury as the base quantity for the comparison, we can use the formula:<br /><br />Relative Density = Density of Gasoline / Density of Mercury<br /><br />Given:<br />Density of gasoline = 0.68 g/cm^3<br />Density of mercury = 13.6 g/cm^3<br /><br />Relative Density = 0.68 g/cm^3 / 13.6 g/cm^3<br />Relative Density = 0.05<br /><br />Therefore, the relative density of gasoline using the density of mercury as the base quantity for the comparison is 0.05.