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An electrolyte solution has an average current density of 1 ampere per square decimeter ((A)/(dm^(2)))". " What is the current density of the solution in (A)/(m^(2)) ? (A)/(m^(2))

An electrolyte solution has an average current density of 1 Adm21\,\frac{\text{A}}{\text{dm}^2}.\newlineWhat is the current density of the solution in Am2\frac{\text{A}}{\text{m}^2}?\newline□\squareAm2\frac{\text{A}}{\text{m}^2}

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Q. An electrolyte solution has an average current density of 1 Adm21\,\frac{\text{A}}{\text{dm}^2}.\newlineWhat is the current density of the solution in Am2\frac{\text{A}}{\text{m}^2}?\newline□\squareAm2\frac{\text{A}}{\text{m}^2}
  1. Understand conversion: Understand the conversion between square decimeters and square meters.\newline11 square meter (m2m^2) is equal to 100100 square decimeters (dm2dm^2), because 11 meter is equal to 1010 decimeters and area is a two-dimensional measurement (10 dm×10 dm=100 dm210\,dm \times 10\,dm = 100\,dm^2).
  2. Convert current density: Convert the current density from amperes per square decimeter to amperes per square meter.\newlineSince there are 100 dm2100 \, \text{dm}^2 in 1 m21 \, \text{m}^2, to find the current density in A/m2\text{A}/\text{m}^2, we need to multiply the given current density by 100100.\newlineCurrent density in A/m2=Current density in A/dm2×100\text{A}/\text{m}^2 = \text{Current density in} \, \text{A}/\text{dm}^2 \times 100\newlineCurrent density in A/m2=1 A/dm2×100\text{A}/\text{m}^2 = 1 \, \text{A}/\text{dm}^2 \times 100\newlineCurrent density in A/m2=100 A/m2\text{A}/\text{m}^2 = 100 \, \text{A}/\text{m}^2

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