If a mass of gasoline occupies 70.01 at 20°C, What is the volume at 35°C?
If a mass of gasoline occupies 70.01at 20°C, what is the volume at 37°C.?
I need to see answer.because I know the answer
To find the volume of gasoline at 35°C, we can use the principle of thermal expansion. The equation that represents the relationship between the initial volume (V1) at a certain temperature (T1) and the final volume (V2) at a different temperature (T2) is:
V2 = V1 * (1 + α * ΔT)
Where:
V2 = final volume
V1 = initial volume
α = coefficient of volume expansion for gasoline
ΔT = change in temperature (T2 - T1)
First, we need to determine the coefficient of volume expansion for gasoline. This value refers to how much the volume of a substance expands or contracts with a change in temperature.
The coefficient of volume expansion for gasoline can be found in a physics or thermodynamics reference book or by searching online. Let's assume its value is α = 0.00096/°C.
Next, we substitute all the known values into the equation:
V2 = 70.01 * (1 + 0.00096 * (35 - 20))
Calculating the expression:
V2 = 70.01 * (1 + 0.00096 * 15)
V2 = 70.01 * (1 + 0.0144)
V2 = 70.01 * 1.0144
V2 ≈ 70.99
Therefore, if a mass of gasoline occupies 70.01 at 20°C, the approximate volume at 35°C is 70.99.