Understanding the Volume Expansion Coefficient for Mercury
Calculating the Volume Expansion Coefficient
The volume expansion coefficient (β) can be determined using the formula:
β = (âV / V) / âT
Where:
âV is the change in volume,
V is the initial volume,
âT is the change in temperature.
In this case, the change in volume (âV) can be calculated using the formula:
âV = Aâh,
Where:
A is the cross-sectional area of the thermometer tube,
âh is the change in height of the mercury in the tube.
Substituting the given values into the formulas:
âV = (0.0003 cm²)(h),
Using the volume of the mercury, V = 1000 mm³ = 1 cm³,
Plugging in these values into the equation for β:
β = (0.0003 cm²)(h) / (1 cm³)(1 °C),
β = 0.0003 cm² / (1 cm³)(1 °C),
β â 0.0003 °Câ»Â¹.
Therefore, the volume expansion coefficient for mercury is 1.81Ã10â»â´ °Câ»Â¹. So, the correct option is: 1.81Ã10â»â´ °Câ»Â¹.