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Thursday, December 12, 2019

1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m-3 and the density of alcohol is 800 kg m-3.


Question 36
1.5 m3 of water is mixed with 0.50 m3 of alcohol. The density of water is 1000 kg m-3 and the density of alcohol is 800 kg m-3.

What is the density of the mixture with volume 2.0 m3?
A 850 kg m-3                    B 900 kg m-3                    C 940 kg m-3                    D 950 kg m-3





Reference: Past Exam Paper – June 2011 Paper 11 Q19





Solution:
Answer: D.


Density of mixture = total mass / total volume
Total volume = 2.0 m3


For water,
Density = 1000 kg m-3
Volume = 1.5 m3
Mass = Density × Volume = 1000 × 1.5 = 1500 kg


For alcohol,
Density = 800 kg m-3
Volume = 0.5 m3
Mass = Density × Volume = 800 × 0.5 = 400 kg

Total mass = 1500 + 400 = 1900 kg


Density of mixture = total mass / total volume
Density of mixture = 1900 / 2.0 = 950 kg m-3

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