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A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM?
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A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a g...
Understanding the Problem
To find the density of the liquid in the bottle, we will first determine its mass and volume using the given weights of the empty bottle, the bottle filled with liquid, and the bottle filled with water.
Given Data
- Weight of the empty bottle: 30 g
- Weight of the bottle filled with liquid: 35.5 g
- Weight of the bottle filled with water: 40 g
Calculating Mass of the Liquid
- Mass of the liquid = Weight of the filled bottle - Weight of the empty bottle
= 35.5 g - 30 g = 5.5 g
Calculating Mass of the Water
- Mass of the water = Weight of the bottle filled with water - Weight of the empty bottle
= 40 g - 30 g = 10 g
Finding the Volume of the Water
- Since the density of water is 1 g/cm³, the volume of the water is:
Volume of water = Mass of water / Density of water
= 10 g / 1 g/cm³ = 10 cm³
Finding the Density of the Liquid
- Density of liquid = Mass of liquid / Volume of liquid
- Volume of liquid is the same as the volume of water, which is 10 cm³.
= 5.5 g / 10 cm³ = 0.55 g/cm³
Final Result
- The density of the liquid is:
0.55 g/cm³
This calculation shows how to find the density of a liquid using the weights of an empty bottle, a filled bottle with liquid, and a filled bottle with water. Understanding these relationships is essential in solving problems related to density in real-world applications.
To find the density of the liquid in the bottle, we will first determine its mass and volume using the given weights of the empty bottle, the bottle filled with liquid, and the bottle filled with water.
Given Data
- Weight of the empty bottle: 30 g
- Weight of the bottle filled with liquid: 35.5 g
- Weight of the bottle filled with water: 40 g
Calculating Mass of the Liquid
- Mass of the liquid = Weight of the filled bottle - Weight of the empty bottle
= 35.5 g - 30 g = 5.5 g
Calculating Mass of the Water
- Mass of the water = Weight of the bottle filled with water - Weight of the empty bottle
= 40 g - 30 g = 10 g
Finding the Volume of the Water
- Since the density of water is 1 g/cm³, the volume of the water is:
Volume of water = Mass of water / Density of water
= 10 g / 1 g/cm³ = 10 cm³
Finding the Density of the Liquid
- Density of liquid = Mass of liquid / Volume of liquid
- Volume of liquid is the same as the volume of water, which is 10 cm³.
= 5.5 g / 10 cm³ = 0.55 g/cm³
Final Result
- The density of the liquid is:
0.55 g/cm³
This calculation shows how to find the density of a liquid using the weights of an empty bottle, a filled bottle with liquid, and a filled bottle with water. Understanding these relationships is essential in solving problems related to density in real-world applications.
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A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM?
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A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM?.
A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bottle weighs 30 g empty 35.5 g when filled with a liquid and 40 a gram when filled with water calculate the value of its density in cds system under S.ISYSTEM?.
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