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

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The estimated concentration of gold in the oceans is 1.0...

The estimated concentration of gold in the oceans is $1.0 \times 10^{-11} \mathrm{g} / \mathrm{mL}$ .
(a) Express the concentration in mol/L.
(b) Assuming that the volume of the oceans is $1.3 \times 10^{21} \mathrm{L}$ estimate the amount of dissolved gold in grams in the oceans.

Key Concepts

Molarity

Molarity is the measure of the concentration of a solution expressed as the number of moles of solute per liter of solution. It is a key concept in chemistry for quantifying how much of a substance is present in a given volume and is used extensively in reaction stoichiometry and solution preparation.

Molar Mass Conversion

This concept involves converting a given mass of a substance to the number of moles by using its molar mass (expressed in grams per mole). By dividing the mass by the molar mass, one can find the number of moles, which is crucial for relating mass quantities to the number of particles involved in chemical reactions.

Unit Conversion

Unit conversion is the process of converting a measurement from one unit to another, ensuring consistency and correctness in calculations. In chemical concentration problems, this often involves converting volumes like milliliters to liters, which is essential for correctly calculating molarity and total amounts over a given volume.

Scientific Notation

Scientific notation is a method used to represent very large or very small numbers in the form of a coefficient times a power of ten. This notation simplifies calculations and helps maintain accuracy when dealing with quantities that span many orders of magnitude, a common occurrence in chemistry and oceanography.

Estimation Using Concentration and Volume

This technique involves calculating the total amount of a substance in a system by multiplying its concentration (such as in grams or moles per liter) by the total volume of the system. It allows for the estimation of overall quantities in large-scale environments, such as the total mass of dissolved ions in the oceans.

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