An ordinary drinking glass is filled to the brim with water (266.3 mL) at 3°C and placed on the sunny pool deck for a swimmer to enjoy. If the temperature of the water rises to 32°C before the swimmer reaches for the glass, how much water will have spilled over the top of the glass?
(Use the following values for the volume expansion coefficients:
For glass 28.2e-6/C and for water 207.0e-6/C)
The Attempt at a Solution
According to my book, the B for water is 210*10^-6.
I plugged in the values that I have, getting V=266.3*(210*10^-6)*29, and get 1.62177.
I do the same for glass, getting V=266.3*(27*10^-6)*29, and get 0.208513.
I subtract the 0.208513 from 1.62177 and get 1.41325.
What am I doing wrong?