Question

When reservoir fluid level drops to approximately _____, RLS shuts off circuit A (HYD 1A or HYD 2A caution). If fluid level continues to deplete to approximately ______, RLS restores circuit A and shuts off circuit B (HYD 1B or HYD 2B caution). If alternate circuit shutdown fails to isolate the leak, RLS restores circuit B (no cautions) at approximately ______, providing hydraulic pressure to both systems until fluid depletion (both cautions).

Answer 1

To determine the volume of radiator fluid that will overflow due to thermal expansion, we use the coefficient of volume expansion (400×10-6°C-1) and the formula ΔV = V0ßΔT. After plugging in the initial volume (16.0 L) and temperature change (85.0°C), we calculate that 0.544 liters will overflow when the operating temperature of 95.0°C is reached.

Step-by-step explanation:

The student's question pertains to the physics concept of thermal expansion and how it affects liquids such as radiator fluid in an automobile's cooling system. When substances are heated, they typically expand in volume; this principle is quantified by the substance's coefficient of volume expansion. For radiator fluid, this value is given as ß = 400×10-6°C-1. To calculate the volume that would overflow from a 16.0-liter radiator upon heating from 10.0°C to 95.0°C, we can use the formula ΔV = V0ßΔT, where ΔV represents the volume change, V0 is the initial volume of the fluid, ß is the coefficient of volume expansion, and ΔT is the temperature change.

Given that V0 = 16.0 L, ß = 400×10-6°C-1, and ΔT = 95.0°C - 10.0°C = 85.0°C, we can calculate ΔV. Plug these values into the formula to find the overflow volume as follows:

ΔV = 16.0 L × 400×10-6°C-1 × 85.0°C

ΔV = 16.0 L × 34.0×10-4

ΔV = 0.544 L

Therefore, 0.544 liters of radiator fluid will overflow when the temperature of the fluid rises to 95.0°C.