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The density of a liquid is to be determined by an old

Chapter 3, Problem 90P

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QUESTION:

Problem 90P

The density of a liquid is to be determined by an old 1–cm–diameter cylindrical hydrometer whose division marks are completely wiped out. The hydrometer is first dropped in water, and the water level is marked. The hydrometer is then dropped into the other liquid, and it is observed that the mark for water has risen 0.6 cm above the liquid–air interface (Fig. P3–95). If the height of the original water mark is 13.6 cm, determine the density of the liquid.

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QUESTION:

Problem 90P

The density of a liquid is to be determined by an old 1–cm–diameter cylindrical hydrometer whose division marks are completely wiped out. The hydrometer is first dropped in water, and the water level is marked. The hydrometer is then dropped into the other liquid, and it is observed that the mark for water has risen 0.6 cm above the liquid–air interface (Fig. P3–95). If the height of the original water mark is 13.6 cm, determine the density of the liquid.

ANSWER:

Step 1

Introduction

We have to determine  the density of the unknown liquid by a hydrometer

A hydrometer is an instrument that measures the relative density or the ratio of the density of the liquid to the density of water.

The hydrometer is first dropped in water, and the water level is marked. The hydrometer is then dropped into the other liquid, and it is observed that the mark for water has risen 0.6 cm above the liquid as shown in below diagram.

hyd.png

The device consists of a weighted, sealed, long-necked glass bulb that is immersed in the liquid being measured; the depth of flotation gives an indication of liquid density, and the neck can be calibrated to read density, and specific gravity.

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