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QuestionFind the current density in Am2\frac{A}{\mathrm{m}^{2}} if the average is 1 A/dm².

Studdy Solution

STEP 1

Assumptions1. The average current density of the electrolyte solution is1 A/dm². . We want to convert this current density from A/dm² to A/m².

STEP 2

First, we need to understand the relationship between square decimeters (dm²) and square meters (m²). We know that1 m =10 dm, so1 m² =100 dm².

STEP 3

Now, we can use this relationship to convert the current density from A/dm² to A/m². The conversion factor is1 A/dm² =100 A/m².

STEP 4

Finally, we multiply the given current density by the conversion factor to find the current density in A/m².
Current densityA/m²=Current densityA/dm²timesConversion factorCurrent\, density_{A/m²} = Current\, density_{A/dm²} \\times Conversion\, factor

STEP 5

Plug in the values for the current density and the conversion factor to calculate the current density in A/m².
Current densityA/m²=1 A/dm²times100Current\, density_{A/m²} =1\, A/dm² \\times100

STEP 6

Calculate the current density in A/m².
Current densityA/m²=1 A/dm²times100=100 A/m²Current\, density_{A/m²} =1\, A/dm² \\times100 =100\, A/m²The current density of the solution in A/m² is100 A/m².

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