The relative density of mercury is 13.6. Find the ratio of the mass of mercury of a certain volume to that of water having tem times the volume of mercury
since Hg has a relative (to water) mass of 13.6, equal volumes of Hg have 13.6 times the mass of water.
SO, if the water is 10 times the volume, then the Hg has 1.36 times that of the water.
To find the ratio of the mass of mercury to that of water, we can use the relative density (also known as specific gravity). The relative density of a substance is the ratio of its density to the density of another substance, usually water.
In this case, the relative density of mercury is given as 13.6. This means that the density of mercury is 13.6 times greater than the density of water.
To find the ratio of the mass of mercury to the mass of water, we need to consider a certain volume of mercury and a volume of water that is ten times greater.
Let's assume the volume of mercury is V. The mass of mercury can be calculated using the formula:
Mass of mercury = density of mercury * volume of mercury
Since the density of mercury is 13.6 times greater than the density of water, the mass of water can be calculated using:
Mass of water = (density of water) * (volume of water)
However, we know the volume of water is ten times greater than the volume of mercury. So,
Volume of water = 10 * V
Now, we can calculate the ratio of the mass of mercury to the mass of water:
Ratio = (mass of mercury) / (mass of water)
Substituting the formulas for mass of mercury and mass of water, we have:
Ratio = (density of mercury * volume of mercury) / (density of water * volume of water)
= (density of mercury * V) / (density of water * 10 * V)
= (density of mercury) / (density of water * 10)
Finally, plug in the available values. The relative density of mercury is 13.6, so the ratio of the mass of mercury to the mass of water is:
Ratio = 13.6 / (density of water * 10)
Note: The density of water is typically taken as 1 g/mL or 1000 kg/m³, depending on the unit used. Ensure you use the appropriate unit when making calculations.