Final answer:
The volume of radiator fluid that will overflow can be calculated using the coefficient of volumetric expansion. Given the original volume, coefficient of expansion, and change in temperature, the overflow volume is computed. This provides an estimation for car radiators, which typically have higher operating temperatures.
Step-by-step explanation:
To calculate the volume of radiator fluid that will overflow when the radiator and the fluid reach their operating temperature of 95.0°C from an initial temperature of 10.0°C, we use the coefficient of volumetric expansion (β) for the fluid. The volumetric expansion formula is:
V = V_0 β ΔT
Where:
- V is the change in volume
- V_0 is the original volume (16.0 liters)
- β is the volume coefficient of expansion (400×10-6/°C)
- ΔT is the change in temperature (95.0°C - 10.0°C)
Plugging in the values, we get:
V = 16.0 L × 400×10-6/°C × (95.0°C - 10.0°C)
After calculating, we find the volume of fluid that would overflow.
Note that this calculation is an approximation, as car radiators typically operate at temperatures higher than 95.0°C, and other factors like the expansion of the radiator material itself are not considered.