Quantitative Chemical Analysis
Quantitative Chemical Analysis
9th Edition
ISBN: 9781464135385
Author: Daniel C. Harris
Publisher: W. H. Freeman
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Chapter 2, Problem 2.26P

(a)

Interpretation Introduction

Interpretation:

The true mass water in vacuum should be calculated.

Concept introduction:

Buoyancy Correction:

The weight of the object in air is less then weight of the object in vacuum because of buoyancy, this weight variation is corrected using Buoyancy equation it is,

m=m'(1-dadw)(1-dad)

Where,

m is mass of object in vacuum.

m' is mass of object in air (read on a balance).

da is the density of air (0.001 2 g/mL near I bar and 25°C) .

dw is the density of calibration weights (8.0 g/mL) .

d is the density of the object being weighed.

(a)

Expert Solution
Check Mark

Answer to Problem 2.26P

True mass the mass of 50.037 mL water at 20°C in vacuum is 50.0026g

Explanation of Solution

To calculate the mass of 50.037 mL water at 20°C

Given,

Volume of water at 20°C in 50mL flask is 50.037 mL

Density of water 20°C is 0.998 2071 g/mL

Mass of 50.037 mL water at 20°C is, 49.95g

Mass=Density×volume=0.9982071 g/mL×50.037mL=49.95g

To calculate true mass of water in vacuum at 20°C

Mass of 50.037 mL water at 20°C is, 49.95g

The density of air is 0.0012 g/mL

Density of balance weight is 8.0 g/mL

We know,

Massofwaterinvacuum=(49.95g)(1-0.0012g/mL8.0g/mL)(1-0.0012g/mL0.9982071g/mL)=50.0026g

The calculated mass and density of water, density of air, and density of balance weight are plugged in above equation to give true mass of water in vacuum.

True mass of water in vacuum at 20°C is 50.0026g

Conclusion

The true mass water in vacuum should be calculated.

(b)

Interpretation Introduction

Interpretation:

The true mass water at air should be calculated.

Concept introduction:

Buoyancy Correction:

The weight of the object in air is less then weight of the object in vacuum because of buoyancy, this weight variation is corrected using Buoyancy equation it is,

m=m'(1-dadw)(1-dad)

Where,

m is mass of object in vacuum.

m' is mass of object in air (read on a balance).

da is the density of air (0.001 2 g/mL near I bar and 25°C) .

dw is the density of calibration weights (8.0 g/mL) .

d is the density of the object being weighed.

(b)

Expert Solution
Check Mark

Answer to Problem 2.26P

The true mass water in air be calculated. 0.2963g

Explanation of Solution

To calculate the true mass water at air.

Given,

Volume of water at 20°C in 50mL flask is 50.037 mL

Density of water 20°C is 0.998 2071 g/mL

Mass of 50.037 mL water at 20°C is, 49.95g

Mass=Density×volume=0.9982071 g/mL×50.037mL=49.95g

The true mass of water in air at 20°C is 49.95g

Conclusion

The true mass of water in air at 20°C was determined.

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