Concept explainers
A cube of sodium has length 1.25 in. How many atoms are in that cube? (Note:
Interpretation:
To determine the number of atoms in given cube.
Concept introduction:
Relation between mass, volume and density:
Formula to calculate volume of cube is given as:
Relation between moles, mass of substance and number of atoms:
Answer to Problem 37QAP
Number of atoms in given cube of sodium=
Explanation of Solution
Here we have:
Length of side of cube = 1.25 in
Since, 1 in = 2.54 cm
Therefore,
Formula to calculate volume of cube is given as:
Plugging values in above formula to get the volume of cube as:
According to question, density of sodium = 0.968 g/cm3
Relation between mass, volume and density:
Plugging values in above formula to get the mass of sodium in 32.01 cm3volume as:
As we know:
Therefore,
Here we have:
Mass of sodium = 30.99 g
Molar mass of sodium = 23.0 g/mol
Plugging values to get the number of atoms as:
Number of atoms in given cube of sodium=
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Chapter 2 Solutions
Chemistry: Principles and Reactions
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