A glass bottle full of mercury has mass 500g. On being heated through 35 degree census, 12.43 gram of mercury expelled. Calculate the mass of mercury remaining in the bottle (cubic expansivity of mercury is 1.8 * 10 raise to power -4 pre Kelvin, linear expansivity 8.0*10 raise to power -6?
Sorry, do not understand your units and did both the Hg and the glass expand or only the Hg and is that 500 g Hg and glass or just Hg ?
500g and hg
To calculate the mass of mercury remaining in the bottle after the expulsion, we need to consider the change in volume of the liquid due to the increase in temperature.
Let's break down the problem step by step:
1. Calculate the initial volume of mercury in the bottle.
Since the mass of mercury is given as 500g, and the density of mercury is approximately 13.6 g/cm³, we can calculate the initial volume using the formula:
Volume = Mass / Density
Initial Volume = 500g / 13.6 g/cm³
2. Calculate the change in volume.
The change in volume is related to the linear expansivity of mercury and the original volume. We can use the formula:
Change in Volume = Original Volume * Linear Expansivity * Change in Temperature
Convert the linear expansivity to per Kelvin if it is given as per degree Celsius:
Linear Expansivity (per Kelvin) = Linear Expansivity (per degree Celsius) / 100
Change in Temperature = Final Temperature - Initial Temperature
In this case, the change in temperature is given as 35 °C.
Calculate the change in volume.
3. Calculate the final volume.
The final volume can be calculated by subtracting the change in volume from the initial volume.
4. Calculate the mass of remaining mercury.
The mass of the remaining mercury can be calculated using the formula:
Mass = Density * Volume
Let's plug in the values and perform the calculations:
1. Initial Volume = 500g / 13.6 g/cm³
2. Change in Volume = Initial Volume * Linear Expansivity (per Kelvin) * Change in Temperature
3. Final Volume = Initial Volume - Change in Volume
4. Mass of remaining Mercury = Density * Final Volume
= 13.6 g/cm³ * Final Volume
By following these steps and substituting the given values into the formulas, you can find the mass of the mercury remaining in the bottle.