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A relative density bottle has a mass of 19 g when empty. ...

A relative density bottle has a mass of 19 g when empty. When it is completely filled with water, its mass is 66 g. What will be its mass if completely filled with alcohol of relative density 0.8?

A.

47 g

B.

52.8 g

C.

37.6 g

D.

56.6 g

Correct answer is D

Let mb=mass of empty bottle,

mw=mass of water only and


ma= mass of alcohol only
 

given; mb=19g



mb + mw = 66g

mb + ma = ?

R.d=0.8

R.d=mass of alcohol

massofalcoholmassofequalvolumeofwater

⇒ mass of equal volume of water = mw=66-19=47g

⇒0.8 = ma47

ma=0.8×47 =37.6g

mb + ma = 19+37.6=56.6g