Could anyone help me with this question...Mecury has a density of 13.6g/cm^3 at 20°C.What would be the density of mecury at 100°C?
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To determine the density of mercury at 100°C, we need to take into account the change in temperature and its effect on density. Temperature affects the density of a substance by causing the molecules to either expand or contract.
To solve this problem, we can use the following formula:
Density2 = Density1 * (1 + β * (Temperature2 - Temperature1))
Where:
- Density2 is the final density at Temperature2.
- Density1 is the initial density at Temperature1.
- β is the coefficient of volume expansion.
In this case, we have the following information:
- Density1 = 13.6 g/cm^3 at 20°C
- Temperature1 = 20°C
- Temperature2 = 100°C
To find β, we need the coefficient of volume expansion for mercury. The coefficient β can be calculated using the formula:
β = (Change in volume / Initial volume) / Change in temperature
For mercury, the coefficient of volume expansion is approximately 0.000181 (1/°C).
Now we can substitute the given values into the formula to find Density2:
Density2 = 13.6 g/cm^3 * (1 + 0.000181 * (100°C - 20°C))
Density2 = 13.6 g/cm^3 * (1 + 0.000181 * 80°C)
Density2 = 13.6 g/cm^3 * (1 + 0.01448)
Density2 = 13.6 g/cm^3 * 1.01448
Density2 = 13.810688 g/cm^3
Therefore, the density of mercury at 100°C would be approximately 13.810688 g/cm^3.