Show that 60.0 L of gasoline originally at 15.0ºC will expand to 61.1 L when it warms to 35.0ºC, as claimed in Example 13.4.

Example 13.4: Calculating Thermal Expansion: Gas vs. Gas Tank

Suppose your 60.0-L (15.9-gal) steel gasoline tank is full of gas, so both the tank and the gasoline have a temperature of 15.0oC . How much gasoline has spilled by the time they warm to 35.0oC ?

Solution 15PE

The change in length of the substance L is,

L = L T

Here, the change in length is denoted by L , the change in temperature is denoted by L and the coefficient of linear expansion is denoted by , that varies slightly with temperature.

The change in volumeV is very nearly,

V = 3V T

= V T

Here, the coefficient of volume expansion is denoted by and thus,

The...