   Chapter 10, Problem 26P

Chapter
Section
Textbook Problem

The density or gasoline is 7.30 × 102 kg/m3 at 0°C. Its average coefficient of volume expansion is 9.60 × 10−4(°C)−1 and note that 1.00 gal = 0.003 80 m3. (a) Calculate the mass of 10.0 gal of gas at 0°C. (b) If 1.000 m3 of gasoline at 0°C is warmed by 20.0°C, calculate its new volume. (c) Using the answer to part (b), calculate the density of gasoline at 20.0°C. (d) Calculate the mass of 10.0 gal of gas at 20.0°C. (e) How many extra kilograms of gasoline would you get if you bought 10.0 gal of gasoline at 0°C rather than at 20.0°C from a pump that is not temperature compensated?

(a)

To determine
The mass of the gas.

Explanation

Given info: The density of gasoline ( ρ0 ) is 7.30×102kg/m3 . The coefficient of volume expansion ( β ) is 9.60×104/οC . Volume of the gas (V0) is 10.0 gal. Temperature (T) is 00C.

Formula to calculate the mass is,

m0=ρ0V0

Substitute 7.30×102kg/m3 for ρ0 and 10

(b)

To determine
The new volume.

(c)

To determine
The new density.

(d)

To determine
The new mass.

(e)

To determine
The difference in mass.

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