500-g of hg (density=13.55-g/ml) poured into a 100-ml graduated cylinder, how much water would have to be added to fill the cylinder up to 100-ml mark?
mass = volume x density
volume Hg = mass/density = 500/13.55 = ?
100-volume Hg = ? mL H2O to be added.
To determine how much water would need to be added to fill the graduated cylinder up to the 100 ml mark after pouring in 500 g of mercury (Hg), we first need to calculate the volume occupied by the mercury.
The density of mercury is given as 13.55 g/ml. So, to find the volume of 500 g of mercury, we can use the formula:
Volume = Mass / Density
Volume of mercury = 500 g / 13.55 g/ml
Calculating this, we find:
Volume of mercury = 36.848 ml
Since the original graduated cylinder has a volume of 100 ml, and the mercury occupies 36.848 ml, the remaining volume to be filled with water can be calculated as:
Remaining volume = 100 ml - 36.848 ml
Calculating this, we find:
Remaining volume = 63.152 ml
Therefore, you would need to add 63.152 ml of water to fill the graduated cylinder up to the 100 ml mark after pouring in 500 g of mercury.