Question

On average, seawater in the world oceans has a salinity of about 3.5%. Chapter Reference Hint b How much seawater need to have evaporated to leave 100g salt?

Answer 1

Answer:

2.857 liters of sea water will be required.

Step-by-step explanation:

Salinity or concentration of the sea water means the amount of salt in grams dissolved in 1 liter of water. On average,salinity of seawater in the world oceans is about 3.5% which means 3.5 grams of salt is dissolved in 100 ml of seawater.

And we have to calculate the amount of seawater to be evaporated to get 100 grams of salt.

We will apply unitary method to solve this question.

∵ 3.5 gms salt is obtained by the evaporation of = 100 ml of water

∴ 1 gm salt is obtained by the evaporation of = 100÷3.5 ml of water

∴ 100 gms salt is obtained by the evaporation of = $\frac{(100)(100)}{3.5}$

                                                                            = 2857.14 ml seawater

                                                                         Or 2857.14÷1000 liters= 2.857 liters of seawater.

Answer 2

The amount of sea water need to have evaporated to leave 100g salt is $\boxed{2857.14{\text{ gram or 2}}{\text{.85714 kilogram}}}.$

Further Explanation:

The unit of the salinity is ${\text{gram}}/{\text{gram}}$

Given:

The salinity of the seawater is $3.5\%.$

The amount of salt is $100{\text{ gram}}.$

Explanation:

The given salinity of the seawater is $3.5\%.$

The salinity of the seawater is $3.5\%$ means that $3.5{\text{ gram}}$ of salt is present in the $100{\text{ gram}}.$

Consider the amount of seawater need to have evaporated to leave 100g salt be $x{\text{ gram}}.$

The amount seawater need to have evaporated to leave 100g salt can be calculated as follows,

$\begin{aligned}\frac{{3.5}}{{100}} &= \frac{{100}}{x}\\3.5 \times x &= 100 \times 100\\x&= \frac{{10000}}{{3.5}}\\x&= 2857.14{\text{ gram}}\\\end{aligned}$

The weight of the seawater in kilogram can be obtain as follows,

$\begin{aligned}x &= \frac{{2857.14}}{{1000}}\\&= 2.857{\text{kilogram}}\\\end{aligned}$

The amount of sea water need to have evaporated to leave 100g salt is $\boxed{2857.14{\text{ gram or 2}}{\text{.85714 kilogram}}}.$

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: Average, seawater, the world, oceans, salinity, 3.5%, seawater need, evaporated, leave, 100 g, weight, gram, salt, percentage, amount, multiply,