The volume of 500 g sealed packed in `350cm^3`. Will the packet float or sink in water of the density of water is `1gcm^-3`? What will the mass of the water displaced by his packet?

Explanation

(i) Mass = 500 g
Volume `= 350 cm^(3)`
Density = ?
Density ` ("Mass")/("Volume")`
`= (500 g)/(350 cm^(3))`
(ii) Realtive density
`= ("Density of a substance")/("Density of water")`
`= (1.42 g cm^(-3))/(1g cm^(-3)) = 1.42 cm`.
(iii) Since the relative density is greater than 1, therefore the packet will sink.
(iv) The solid will displace water equal to its own volume (i.e, `350 cm^(3)`). The weight of `350 cm^(3)` of water is 350 gram-weight. Thus, the weight of water displaced is 350 gram-weight.