If a mass of gasoline occupies 70.01 at 20°C, What is the volume at 35°C?

To find the volume of gasoline at 35°C, we need to use the concept of thermal expansion. As temperature increases, most substances expand. In order to calculate the volume at a different temperature, we can use the coefficient of volume expansion.

The coefficient of volume expansion, denoted by β, is a material-specific constant that indicates how much a substance expands per degree Celsius change in temperature. For gasoline, the coefficient of volume expansion is typically around 0.00096/°C.

Now, let's calculate the volume of gasoline at 35°C using the formula:

V2 = V1 * (1 + β * ΔT)

Where:
V2 = Final volume at 35°C
V1 = Initial volume at 20°C
β = Coefficient of volume expansion
ΔT = Change in temperature (35°C - 20°C)

Substituting the given values:
V2 = 70.01 * (1 + 0.00096 * (35 - 20))
V2 = 70.01 * (1 + 0.00096 * 15)
V2 = 70.01 * (1 + 0.0144)
V2 = 70.01 * 1.0144
V2 = 70.987344

Therefore, the volume of the gasoline at 35°C is approximately 70.99 L.