5 litre of a liquid weighs 5 kgf. The density of theliquid is ________.(a) 1 kg m–3 (b) 1 g cm–3(c) 100 kg m –3 (d) 100 g m–3
Question
5 litre of a liquid weighs 5 kgf. The density of the liquid is ________.
(a) 1 kg m–3
(b) 1 g cm–3
(c) 100 kg m –3
(d) 100 g m–3
Solution
To find the density of the liquid, we can use the formula:
Density = Mass / Volume
Given that 5 liters of the liquid weighs 5 kgf (kilogram-force), we know the mass is 5 kg.
Now, we need to convert the volume from liters to cubic meters. Since 1 liter is equal to 0.001 cubic meters, we can calculate the volume as follows:
Volume = 5 liters * 0.001 cubic meters/liter = 0.005 cubic meters
Now, we can substitute the values into the density formula:
Density = 5 kg / 0.005 cubic meters = 1000 kg/m^3
Therefore, the density of the liquid is 1000 kg/m^3.
So, the correct option is (c) 100 kg m–3.
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