The following equation can be used to relate the density of liquid water to Celsius temperature in the range from 0 °C to about 20 °C: 

(a) To four significant figures, determine the density of water at 10 °C. 

(b) At what temperature does water have a density of 0.99860 g/cm³. 

(c) In the following ways, show that the density passes through a maximum somewhere in the temperature range to which the equation applies. 

(i) By estimation 

(ii) By a graphical method 

(iii) By a method based on differential calculus.

Transcribed Image Text:

0.99984+ (1.6945 x 10-2) - (7.987 x 10-6²) d(g/cm³) = 1+ (1.6880 x 10²t)