An empty relative density bottle has a mass of 25g.When filled with a liquid of relative density 0.92g,its mass became 85g.Calculate the mass of the bottle when full of water.
85 g = mass bottle + liquid
-25 g = mass empty bottle
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60 g = mass liquid of density 0.92 g/mL
volume of liquid = volume bottle = mass/density = 60/0.92 = 65.2 mL
65.2 mL H2O with density 1.00 g/mL has a mass of 65.2 g. Place that in the empty bottle weighing 25 g, the bottle will weigh 25 + 65.2 = ? grams
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Physics
To calculate the mass of the bottle when it is filled with water, we need to consider the difference between the mass of the bottle when empty and the mass of the bottle when filled with the liquid.
Given:
Mass of empty bottle = 25g
Mass of bottle + liquid = 85g
Relative density of liquid = 0.92g
First, let's calculate the mass of the liquid:
Mass of liquid = Mass of bottle + liquid - Mass of empty bottle
Mass of liquid = 85g - 25g
Mass of liquid = 60g
Now, let's calculate the mass of the bottle when filled with water. Since water has a relative density of 1g/mL, the mass of water is equal to its volume.
Relative density of water = 1g/mL
Volume of water = Mass of water = 60g
Therefore, the mass of the empty bottle when filled with water is 60g.
To calculate the mass of the bottle when full of water, we need to determine the mass of the liquid in the bottle first.
Given:
Mass of the empty bottle = 25g
Mass of the bottle with the liquid = 85g
Relative density of the liquid = 0.92g
To find the mass of the liquid, we need to subtract the mass of the empty bottle from the mass of the bottle with the liquid:
Mass of the liquid = Mass of the bottle with the liquid - Mass of the empty bottle
= 85g - 25g
= 60g
Now that we know the mass of the liquid, we can determine the mass of the water in the bottle by comparing the relative density:
Relative density = Mass of the liquid / Mass of the water
Given that the relative density of the liquid is 0.92g and the mass of the liquid is 60g, we can set up the following equation:
0.92g = 60g / (Mass of the water)
To find the mass of the water, we can rearrange the equation:
Mass of the water = 60g / 0.92g
≈ 65.22g
Therefore, the mass of the bottle when full of water is approximately 65.22g.