Chapter 17, Problem 67P

Water’s coefficient of volume expansion in the temperature range from 0°C to about 20°C is given approximately by β = a + bT + cT², where T is in Celsius and a = −6.43× 10⁻⁵°C⁻¹, = 1.70× 10⁻⁵°C⁻², and c = −2.02 × 10⁻⁷°C⁻³. Show that water has its greatest density at approximately 4.0°C.