Question

Q16. A metal piece weighs 200 gf in air and 150 gf when completely immersed in

water.

(a) Calculate the relative density of the metal piece.

(b) How much will it weigh in a liquid of density 0.8g/3

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Answer 1

Answer:

The relative density of metal piece is 0.6

Step-by-step explanation:

Given as :

The weigh of metal in air = $w_a$ = 200 gf

The weigh of metal in water = $w_w$ = 150 gf

The weight of metal in liquid = $w_l$ = 170 gf

Let the relative density of metal piece = $\rho$

According to question

$\rho$ = $\dfrac{loss of weight in liquid}{loss of weight in water}$

Or, $\rho$ = $\dfrac{w_a - w_l}{w_a - w_w}$

or, $\rho$  = $\dfrac{200-170}{200-150}$

Or, $\rho$  = $\dfrac{3}{5}$

∴  $\rho$  = 0.6

Hence, The relative density of metal piece is 0.6 Answer