1.3 Exercise 17

Most cars have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. A radiator is made of copper and is filled to its 16.0-L capacity when at $10.0 ° \text{C}$. What volume of radiator fluid will overflow when the radiator and fluid reach a temperature of $95.0 ° \text{C},$ given that the fluid’s volume coefficient of expansion is $\beta = 400 \times 10^{−6} / ° \text{C}$? (Your answer will be a conservative estimate, as most car radiators have operating temperatures greater than $95.0 ° \text{C}$).