A 40.0 liter gas tank is filled to the brim with gasoline when the temperature is $5.00^{\circ} \mathrm{C}$. Gasoline has a coefficient of volume expansion of $950 \times 10^{-6} /{ }^{\circ} \mathrm{C}$. If the gas tank is moved into the sun of a hot summer day, the temperature of the gas tank is increased to $60.0^{\circ} \mathrm{C}$. What is the volume of gasoline that overflows the tank (ignore the expansion of the gas tank)?

Question

Quizplus · Accepted Answer

The volume of gasoline that overflows can be calculated using the formula for thermal expansion: $\Delta V = V_0 \beta \Delta T$, where $\Delta V$ is the change in volume, $V_0$ is the initial volume, $\beta$ is the coefficient of volume expansion, and $\Delta T$ is the change in temperature. Plugging in the given values: $\Delta V = 40.0 \, \text{liters} \times 950 \times 10^{-6} /{ }^{\circ} \mathrm{C} \times (60.0 - 5.00)^{\circ} \mathrm{C} = 2.09 \, \text{liters}$.

A 400 Liter Gas Tank Is Filled to the Brim with with Gasoline