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(a)
Interpretation:
Whether the ball float or not if it is evacuated is to be determined.
Concept introduction:
Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is
An object can float in the air if its density is less than the density of air.
(a)
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Answer to Problem 1.78P
The ball will float if it is evacuated.
Explanation of Solution
The density of air is
Substitute
The ball float will float because the density of the ball is less than the air.
When the density of an object is less than the density of air, then that object floats in the air.
(b)
Interpretation:
Whether the ball filled with carbon dioxide will float or not is to be determined.
Concept introduction:
Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is
An object can float in the air if its density is less than the density of air.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 1.78P
The ball filled with carbon dioxide will not float.
Explanation of Solution
The density of air is
The density of carbon dioxide is greater than the density of air and therefore the ball filled with carbon dioxide will not float.
When the density of an object is less than the density of air, then that object floats in the air.
(c)
Interpretation:
Whether the ball filled with hydrogen will float or not is to be determined.
Concept introduction:
Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is
An object can float in the air if its density is less than the density of air.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 1.78P
The ball filled with hydrogen will float.
Explanation of Solution
The density of air is
The density of the ball filled with hydrogen is calculated as follows:
The density of ball filled with hydrogen is less than the density of air and therefore the ball filled with hydrogen will float.
When the density of an object is less than the density of air, then that object floats in the air.
(d)
Interpretation:
Whether the ball filled with oxygen will float or not is to be determined.
Concept introduction:
Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is
An object can float in the air if its density is less than the density of air.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 1.78P
The ball filled with oxygen will not float.
Explanation of Solution
The density of air is
The density of oxygen is greater than the density of air and therefore the ball filled with oxygen will not float.
When the density of an object is less than the density of air, then that object floats in the air.
(e)
Interpretation:
Whether the ball filled with nitrogen will float or not is to be determined.
Concept introduction:
Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is
An object can float in the air if its density is less than the density of air.
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 1.78P
The ball filled with nitrogen will not float but sink.
Explanation of Solution
The density of air is
The density of the ball filled with nitrogen is calculated as follows:
The density of ball filled with nitrogen is greater than the density of air and therefore the ball filled with nitrogen will not float.
When the density of an object is less than the density of air, then that object floats in the air.
(f)
Interpretation:
The weight that must be added to make it sink is to be calculated.
Concept introduction:
Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is
An object can float in the air if its density is less than the density of air.
(f)
![Check Mark](/static/check-mark.png)
Answer to Problem 1.78P
Explanation of Solution
Rearrange the equation (1) to calculate the mass required of ball and gas to sink.
Substitute
The mass required of ball and gas to sink is
Therefore
Rearrange the equation (1) to calculate the mass of hydrogen in the ball.
Substitute
The mass of hydrogen is
The mass required of ball and gas to sink is
Therefore
When the density of an object is less than the density of air, then that object floats in the air.
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Chapter 1 Solutions
Loose Leaf for Chemistry: The Molecular Nature of Matter and Change
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