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If 14 milliliters of a certain liquid has a mass of 16 grams, what is the mass (in gram) of 28 litres of this liquid? (1 litre = 1,000 milliliters)
A. 8
B. 32
C. 3,200
D. 8,000
E. 32,000

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Last updated date: 23rd May 2024
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Answer
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Hint: In this problem, we are given that 14 milliliters of a certain liquid has a mass of 16 grams, we have to find the mass (in gram) of 28 litres of this liquid, where 1 litre = 1,000 milliliters. Here we are given the mass of 14 millilitres and we have to find the mass of 28 litres, so we can first convert 14 millilitres to litres and we can see that 28 is twice of 14, so we can multiply the mass of 14 litres to 2, to get the required answer.

Complete step by step answer:
Here we are given that 14 milliliters of a certain liquid has a mass of 16 grams.
We have to find the mass (in gram) of 28 litres of this liquid, where 1 litre = 1,000 milliliters.
We can first convert the mass of 14 litres,
If 14 millilitres = 16 grams,
Then 14 litres = 16000 grams.
We know that 28 is twice of 14, so we can multiply 2 on both sides in the above step to get the value in gram, we get
\[\begin{align}
  & \Rightarrow 14l\times 2=16000g\times 2 \\
 & \Rightarrow 28l=32000g \\
\end{align}\]
Therefore, 28 litres will have 32,000 grams of mass.

So, the correct answer is “Option E”.

Note: We should always remember some of the unit conversions to solve these types of problems, such as 1 litre is equal to 1000 millilitres. We should also see that, here we have 28, which is twice of 14, so the answer for 28 litres of liquid is directly found by multiplying the given value by 2.