In an experiment, a current of 3.5A is being passed through a copper sulphate solution in a 10cm cubical container, with the electrical terminals being opposite faces. This contains equal numbers of Cu 2+ and SO 4 2− ​ ions which have respectively +2 and −2 electron charge units. Assuming that the two ions have equal speed in the solution, and that there are 6.0×10 26 of each per cubic metre of the solution, work out their mean speed to 2 significant figures.

Respuesta :

Answer:

The mean speed of both Cu 2+ and SO 4 2− ions in the copper sulphate solution is 7.8 x 10^-9 m/s to 2 significant figures.

Explanation:

In the given experiment, a current of 3.5A is being passed through a copper sulphate solution in a 10cm cubical container, with the electrical terminals being opposite faces. This contains equal numbers of Cu 2+ and SO 4 2− ions which have respectively +2 and −2 electron charge units. Assuming that the two ions have equal speed in the solution, and that there are 6.0×10^26 of each per cubic metre of the solution, we can calculate their mean speed using the following formula:

mean speed = current / (charge x concentration x volume)

Here, the charge is the electron charge unit, which is 1.6 x 10^-19 C. The concentration of each ion is 6.0 x 10^26 ions/m^3, and the volume of the container is 0.1 m^3. Substituting these values into the formula, we get:

mean speed = 3.5 / (2 x 1.6 x 10^-19 x 6.0 x 10^26 x 0.1)

mean speed = 7.8 x 10^-9 m/s

Therefore, the mean speed of both Cu 2+ and SO 4 2− ions in the copper sulphate solution is 7.8 x 10^-9 m/s to 2 significant figures.

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