Question

Express the volume expansivity and the isothermal compressibility as functions of density rho and its partial derivatives. For water at 50°C and 1 bar, κ = 44.18 × 10 −6 bar −1 . To what pressure must water be compressed at 50°C to change its density by 1%? Assume that κ is independent of P.

Answer 1

Answer:

Explanation:

κ = 1/v  x dv/dp

= 1/ρ x (+δρ/ δp )_T

δρ = 1 , ρ = 100

44.18 x 10⁻⁶ = ( 1/100) x( 1 / δp)

δp = 10⁻² / (44.18 x 10⁻⁶ )

= .0226 x 10⁴

= 226 bar