The estimated concentration of gold in the oceans is 1.0 * 10^-11 g/mL. (a) Express the concentration in mol/L.

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Identify the given concentration of gold in the ocean as 1.0 \(\times\) 10^{-11} \(\text{ g/mL}\).

Convert the concentration from g/mL to g/L by multiplying by 1000, since there are 1000 mL in a L.

Determine the molar mass of gold (Au) from the periodic table, which is approximately 197 \(\text{ g/mol}\).

Use the formula for molarity: \(\text{Molarity (mol/L)}\) = \(\frac{\text{mass (g/L)}\)}{\(\text{molar mass (g/mol)}\)}.

Substitute the values into the formula to express the concentration in mol/L.

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Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is commonly expressed in units of mol/L. To convert grams of a substance to moles, one must use the molar mass of the substance, which is the mass of one mole of that substance in grams.

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01:13

Molarity

Molar Mass of Gold

The molar mass of gold (Au) is approximately 197 g/mol. This value is essential for converting the mass of gold in grams to moles, which is necessary for expressing concentration in mol/L. Knowing the molar mass allows for accurate calculations when dealing with solutions and concentrations in chemistry.

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02:11

Molar Mass Concept

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this context, it involves converting the concentration of gold from grams per milliliter (g/mL) to moles per liter (mol/L). This requires understanding the relationship between grams, moles, and liters, as well as applying appropriate conversion factors.

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