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?

Question

Meredith Powell

Chemistry

18 June, 09:45

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?

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Answers (1)

Know the Answer?

Louis Yang · Answer 1

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