
Which of the following is the closest to the mass of 500 ml of water?
A. 50 g
B. 5 kg
C. 0.500 kg
D. 0.500 g
E. 500 kg
Answer
557.1k+ views
Hint: The density of the water is 1 g/ml.
The relationship between the mass and density of the compound is as follows.
\[\text{Density of the compound = }\dfrac{\text{mass of the compound}}{\text{volume of the compound}}\]
With the above relationship we can calculate the mass of the compound using volume and density of the compound.
Complete answer:
- In the question it is given that it is the closest to the mass of 500 ml of water.
- We have to find the closest value to 500 ml of water among the given options.
- Volume of the given water in the question is 500 ml.
- The density of the water is 1 g/ml.
- By substituting these values in the below formula to get the mass of the water which is equal to 500 ml of the water.
\[\begin{align}
& \text{Density of the water = }\dfrac{\text{mass of the water}}{\text{volume of the water}} \\
& \text{mass of the water = density of the water }\!\!\times\!\!\text{ volume of the water} \\
& \text{mass of the water = 1 }\times \text{500} \\
& \text{Mass of the water = 500 grams}\text{. } \\
\end{align}\]
- Mass of the water obtained from the above calculation is 500 grams.
- We know the relationship between kg and grams and it is as follows.
1 kg =1000 grams
- Therefore 500 grams of water = 0.500 kg.
- Therefore the closest to the mass of 500 ml of water is 0.500 kg.
So, the correct answer is C.
Note:
First we should know the density of the water to convert the volume of the water into mass of the water. Later we have to convert the answer from grams to kg by using the following relationship.
1 kg =1000 grams.
The relationship between the mass and density of the compound is as follows.
\[\text{Density of the compound = }\dfrac{\text{mass of the compound}}{\text{volume of the compound}}\]
With the above relationship we can calculate the mass of the compound using volume and density of the compound.
Complete answer:
- In the question it is given that it is the closest to the mass of 500 ml of water.
- We have to find the closest value to 500 ml of water among the given options.
- Volume of the given water in the question is 500 ml.
- The density of the water is 1 g/ml.
- By substituting these values in the below formula to get the mass of the water which is equal to 500 ml of the water.
\[\begin{align}
& \text{Density of the water = }\dfrac{\text{mass of the water}}{\text{volume of the water}} \\
& \text{mass of the water = density of the water }\!\!\times\!\!\text{ volume of the water} \\
& \text{mass of the water = 1 }\times \text{500} \\
& \text{Mass of the water = 500 grams}\text{. } \\
\end{align}\]
- Mass of the water obtained from the above calculation is 500 grams.
- We know the relationship between kg and grams and it is as follows.
1 kg =1000 grams
- Therefore 500 grams of water = 0.500 kg.
- Therefore the closest to the mass of 500 ml of water is 0.500 kg.
So, the correct answer is C.
Note:
First we should know the density of the water to convert the volume of the water into mass of the water. Later we have to convert the answer from grams to kg by using the following relationship.
1 kg =1000 grams.
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