Answer:
Weight of honey required to fill bath tub is 435kg
Honey is 1.45 times heavier than water
Explanation:
Rough volume of a bathtub is 300 litres
density of honey is 1.45 kg/L
Density of honey in bath tub is given by
[tex]\rho = \frac{mass}{volume}[/tex] where, mass is the weight of honey in bath tub and volume is volume of bath tub
on substituting the given values in above equation we get
1.45 = [tex]\frac{mass}{300}[/tex]
⇒1.45 x 300 = mass of honey in bath tub or weight of honey
⇒ weight of honey required to fill bath tub is 435kg
density of water is 0.997 kg/L
therefore for the same amount of volume the ratio of weight of honey to water is equal to ratio of density of honey to water
∴ [tex]\frac{W_h}{W_w} = \frac{\rho_h}{\rho_w}[/tex]
on substituting the value of densities we get
[tex]\frac{W_h}{W_w} = \frac{1.45}{1}[/tex]
⇒ honey is 1.45 times heavier than water
