Final answer:
The increase in volume of 34.1 in.³ of mercury when heated from 2.35°F to 105°F is approximately 0.420 in.³.
Step-by-step explanation:
To find the increase in volume of mercury, we can use the formula for volume expansion:
ΔV = V₁ × β × ΔT
Where:
- ΔV is the increase in volume
- V₁ is the initial volume
- β is the coefficient of volume expansion
- ΔT is the change in temperature
For mercury, the coefficient of volume expansion is approximately 0.000181 / °C.
So, plugging in the values: ΔV = 34.1 in.³ × 0.000181 / °C × (105°F - 2.35°F)
Calculating that, the increase in volume of 34.1 in.³ of mercury when the temperature is increased from 2.35°F to 105°F is approximately 0.420 in.³.