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What is dimensional analysis?

Chemistry: A Molecular Approach | 3rd Edition | ISBN: 9780321809247 | Authors: Nivaldo J. Tro ISBN: 9780321809247 1

Solution for problem 32E Chapter 1

Chemistry: A Molecular Approach | 3rd Edition

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Chemistry: A Molecular Approach | 3rd Edition | ISBN: 9780321809247 | Authors: Nivaldo J. Tro

Chemistry: A Molecular Approach | 3rd Edition

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Problem 32E

What is dimensional analysis?

Step-by-Step Solution:
Step 1 of 3

Solution 32 E: (a) Here, we have to calculate the density of the liquid to confirm whether the liquid is benzene Given in the Question Volume of the liquid is 25.0 mL Mass of the Liquid is 21.95 g We know the relationship between Density and volume with mass is given below By definition, Density defines the mass per unit volume. Density = Mass/ Volume 21.95 g Density = 25.0 mL Density = 0.878 g/mL The calculated density of the liquid is found = 0.878 g/mL In chemistry hand, the density of benzene is given 0.8787 g/mL Thus, the calculated value of the density of the liquid is in agreement with the tabulated value of benzene and which is equal to 0.878 g/mL (b) Here we have to calculate the volume of cyclohexane having density and mass. Given Density of the cyclohexane =0.7781 g/mL Mass of the cyclohexane = 15.0 g We know the relationship between Density and volume with mass is given below By definition, Density defines the mass per unit volume. Density = Mass/ Volume V olume = Mass/Density V olume = 15.0 g 0.7781 g/mL = 19.28 mL Thus, the volume should be used for the experiment is 19.28 mL (c) Here we have to calculate the volume and mass of the spherical ball having density and diameter of the ball Given 3 Density of the ball = 11.34 g/cm Diameter of the ball is d = 5 cm Let us consider the radius of the sphere is “r” d Radius of the sphere will be r = 2 5.0 = 2 Radius of the sphere will be r = 2.5 cm By definition, Volume of the sphere = 3 r 3 4 x 22 3 = 3x7 x (2.5 cm) = 88 x 15.63 cm 3 21 = (4.19 x 15.63) cm 3 3 Volume of the sphere = 65.48 cm We know the relationship between Density and volume with mass is given below By definition, Density defines the mass per unit volume. Density = Mass/ Volume Mass = Density x volume = 11.34 g/cm x 65.48 cm 3 = 742.65 g Thus, the mass of the Lead sphere is found to be 7 42.65 g

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Chapter 1, Problem 32E is Solved
Step 3 of 3

Textbook: Chemistry: A Molecular Approach
Edition: 3
Author: Nivaldo J. Tro
ISBN: 9780321809247

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What is dimensional analysis?