Question
Volumetric Vokrmetric expansion coeflicients of single materialg are cifen well cataloued owever the thermal expansion coefficienl of a human bod is less we krown. This could affect the human body's specifi s n gravity and therefore, measurements of Its body/fat ratio. Suppose that a human bady of weight wo (on dry land) is placed on a scale while completely immersed in formaldehyde of temperature T. Once the temperature increases by T, the scale reading drops by Derive an expression for in terms oAT, wb, and w by assuming that the ratio of the formaldehyde initial density of the body A is R = 1A-Assume also that P does not change when heated. and the RAT If the body weighs 172.7 Ib on dry land and his weight reading lowers by 0.135 lb when the formaldehyde is heated from 68.80°F to 88.60°F, calculate the coefficient of volume expansion of the body." Assume R = 0.790. Number B- 11.0000500 1 C Incorrect The coefficient will likely vary widely from one human body to the next. The numerical value computed here should not be considered factual. C) Pretvicus Gve, Up & View Solution #Try Again ONaxt at Explanation
Explanation / Answer
bita = (1/V)* V/T (1), here rho = rhot/R
V= w*R /rhot*g..(2)
V = w /rho*g,
V = w*R /rhot*g...(3)
Using eq. 1 & 2.
bita = (1/w*R /rhot*g)* w*R /rhot*g/T
= (1/w)* w/T
=(1/172.7)*(0.135/(88.60-68.80)*(0.5563)
=7.096875*10^-5 /C
