The estimated concentration of gold in the oceans is 1.0 * 10^-11 g/mL. (b) Assuming that the volume of the oceans is 1.3 * 10^21 L, estimate the amount of dissolved gold in grams in the oceans.

검증된 단계별 안내

Convert the volume of the oceans from liters to milliliters using the conversion factor: 1 L = 1000 mL.

Calculate the total volume of the oceans in milliliters by multiplying the given volume in liters by the conversion factor.

Use the concentration of gold in the oceans (1.0 \(\times\) 10^{-11} \(\text{ g/mL}\)) to find the total mass of gold. Multiply the concentration by the total volume in milliliters.

Ensure that the units are consistent throughout the calculation to obtain the mass of gold in grams.

Review the calculation to ensure that all steps are correctly followed and that the units are properly converted and applied.

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주요 개념

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Concentration

Concentration refers to the amount of a substance (solute) present in a given volume of solution. It is often expressed in units such as grams per milliliter (g/mL) or moles per liter (mol/L). Understanding concentration is crucial for calculating the total amount of solute in a larger volume, as it allows for the conversion between the concentration of a solution and the total mass of the solute present.

Volume Conversion

Volume conversion is the process of changing a measurement from one unit of volume to another, such as from liters to milliliters. In this context, knowing that 1 liter equals 1,000 milliliters is essential for accurately calculating the total amount of dissolved gold in the oceans. This conversion is necessary to align the units of concentration with the total volume of the oceans.

Mass Calculation

Mass calculation involves determining the total mass of a substance based on its concentration and the volume of the solution. In this scenario, the mass of dissolved gold can be calculated by multiplying the concentration of gold (in g/mL) by the total volume of the oceans (converted to mL). This fundamental principle of stoichiometry is vital for quantifying substances in chemistry.