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 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

Correct Option: 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
⇒massofalcohol/massofequalvolumeofwater
⇒ mass of equal volume of water = mw=66-19=47g

⇒0.8 = ma/47

⇒ma=0.8×47 =37.6g

; mb + ma = 19+37.6=56.6g

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