Question

The volume coefficient of thermal expansion for gasoline is 950 × 10 -6 K -1. By how many cubic centimeters does the volume of 1.00 L of gasoline change when the temperature rises from 30°C to 50°C?

Answer 1

The volume of 1.00 L of gasoline will change by 19 cubic centimeters when the temperature rises from 30°C to 50°C, using the given volume coefficient of thermal expansion for gasoline.

Step-by-step explanation:

To determine by how many cubic centimeters the volume of 1.00 L of gasoline changes when the temperature rises from 30°C to 50°C with a given volume coefficient of thermal expansion for gasoline of 950 × 10-6 K-1, we can use the formula for volume thermal expansion: ΔV = βV0ΔT, where ΔV is the change in volume, β is the volume coefficient of thermal expansion, V0 is the initial volume, and ΔT is the change in temperature.

First, convert the initial volume from liters to cubic centimeters:

V0 = 1.00 L = 1000 cm3

Next, calculate the change in temperature:

ΔT = 50°C - 30°C = 20°C

Now insert the known values into the formula:

ΔV = 950 × 10-6 K-1 × 1000 cm3 × 20 K = 19 cm3

The volume of 1.00 L of gasoline will change by 19 cm3 when the temperature rises from 30°C to 50°C.

Answer 2

19 cm³

Step-by-step explanation:

The coefficient of thermal expansion is the ratio of the change in volume to the reference volume for each degree change in temperature. Hence the change in volume is found by multiplying by the reference volume and the change in temperature.

(1000 cm³)(0.950·10⁻³/K)(50-30)K = 19 cm³ . . . volume increase