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Measurements have shown that the concentration of salt in seawater is 35.5·gL−1. Calculate the volume in liters of seawater that must be evaporated to recover 0.0500kg of salt.Round your answer to 3 significant digits.

Question

Measurements have shown that the concentration of salt in seawater is 35.5·gL−1. Calculate the volume in liters of seawater that must be evaporated to recover 0.0500kg of salt.Round your answer to 3 significant digits.

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Solution

Sure, here's how you can calculate it:

  1. First, convert the concentration of salt in seawater from g/L to kg/L. Since 1 kg = 1000 g, the concentration is 35.5 g/L = 0.0355 kg/L.

  2. Next, use the formula for concentration which is mass/volume. Rearrange the formula to solve for volume: volume = mass/concentration.

  3. Plug in the given values: volume = 0.0500 kg / 0.0355 kg/L = 1.408 L.

So, you would need to evaporate approximately 1.41 liters of seawater to recover 0.0500 kg of salt.

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