A 100 liter water tank is filled to the brim with water when the temperature is 5.00$^{\circ}$C.Water has a coefficient of volume expansion of 207 $\times$10^-6/$^{\circ}$C.If the temperature of the water tank is increased to 60.0$^{\circ}$C,what is the volume of water that overflows the tank (ignore the expansion of the tank)?

Question

Quizplus · Accepted Answer

The volume of water that overflows can be calculated using the formula for volume expansion: ΔV = βV₀ΔT. Here, β = 207 * 10⁻⁶/°C, V₀ = 100 liters, and ΔT = 60°C - 5°C = 55°C. Thus, ΔV = 207 * 10⁻⁶ * 100 * 55 = 1.1385 liters, approximately 1.14 liters.

A 100 Liter Water Tank Is Filled to the Brim ∘^{\circ}∘

A 100 Liter Water Tank Is Filled to the Brim $^{\circ}$