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

0.019 L

Step-by-step explanation:

Let the volume coefficient of thermal expansion be γ

γ= 950 × 10-6 K-1

Initial volume V1= 1.00L

Final volume V2= ?????

Initial temperature θ1 = 30°C

Final temperature θ2 = 50°C

From;

γ= V2-V1/V1 (θ2 - θ1)

Making V2 the subject of the formula;

V2= γ V1(θ2 - θ1) + V1

Substituting values;

V2= 950 × 10^-6 × 1.00(50-30) + 1.00

V2= 1.019 L

Change in volume = V2-V1

Therefore change in volume= 1.019 L- 1.00L = 0.019 L