Question

HELP PLEASE

Most automobiles 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 21.5-L capacity when at 13.0degreeC. What volume of radiator fluid will overflow when the radiator and fluid reach their 95.0degree C operating temperature, given the fluid's volume coefficient of expansion is 400.10^-67degreeC and that of copper is 51 . 10_7degreeC. Note that most car radiators have operating temperatures of greater than 95.0degreeC.

Answer 1

$\Delta$ T = change in temperature = 95 - 13 = 82

V = initial Volume = 21.5 L = 21.5 x 0.001 m³ = 0.0215 m³

$\Delta$ V = change in Volume

Change in Volume of radiator is given as

$\Delta$ V_rad = (0.0215) (51 x 10^-6) (82) = 0.0000899

Change in Volume of fluid is given as

$\Delta$ V_fluid = (0.0215) (400 x 10^-6) (82)

Volume spilled over :

$\Delta$ V_fluid - $\Delta$ V_rad = (0.0215) (400 x 10^-6) (82) - (0.0215) (51 x 10^-6) (82) = 6.15 x 10^-4 m³