For a solution containing 6.38% para-diclorobenzene by mass in benzene, the density of the solution as a function of temperature (t) in the temperature range 15 to 65°C is given by the equation, rho(g/ml) = 1.5794 – 1.836x10-3 (t-15). At what temperature will the solution have a density of 1.543 g/ml?

Respuesta :

Answer:

T=34.20 °C

Explanation:

The formula given by the problem is

ρ= 1.5794 - 1.836*10⁻³ *(T-15)

ρ is density (in g/mL), and T is temperature (in °C).

To solve the problem we use a ρ of 1.543 g/mL and solve the equation for T:

1.543 = 1.5794 - 1.836*10⁻³ *(T-15)

0.0364 = 1.836*10⁻³ *(T-15)

19.1983=T-15

T=34.20 °C