Final answer:
Approximately 0.544 liters of radiator fluid will overflow from a 16.0-L radiator when the fluid and radiator heat from 10.0°C to an operating temperature of 95.0°C. This calculation uses the given volume coefficient of expansion for the fluid.
Step-by-step explanation:
Assuming the radiator is filled to its 16.0-L capacity at 10.0°C, and the radiator fluid's volume coefficient of expansion is β = 400×10-6°C-1, we can calculate the volume of the fluid that will overflow when the radiator and fluid reach their 95.0°C operating temperature.
To find the change in volume, ΔV, we can use the formula:
ΔV = β×V×ΔT
Where:
- β is the volume coefficient of expansion
- V is the initial volume
- ΔT is the change in temperature
Plugging in the values gives us:
ΔV = (400×10-6°C-1) × 16.0 L × (95.0°C - 10.0°C)
ΔV = (400×10-6) × 16.0 L × 85°C
ΔV = 0.544 L
Therefore, approximately 0.544 liters of the radiator fluid will overflow when the temperature reaches 95.0°C.