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2 years ago

A sandbox is in the shape of a parallelogram. A diagram of the sandbox is shown. What is the area of the sandbox?.

SAT

1 answer:

sukhopar [10]2 years ago

4 0

Answer: 135 ft²

Explanation: We know that to find the area of a parallelogram you have to multiply the base by the height A = bh in this problem we have b = 10 + 5 = 15 ft and h = 9 ft

substitute

A = 15 × 9 = 135 ft²

Hope this helps!

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2 years ago

If 50. 0 g of ch₃oh (mm = 32. 04 g/mol) are added to a 500. 0 ml volumetric flask, and water is added to fill the flask, what is

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Taking into account the definition of molarity, the concentration of CH₃OH in the solution is 3.12 $\frac{moles}{liters}$ .

<h3>Definition of molarity</h3>

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

$Molarity=\frac{number of moles}{volume}$

Molarity is expressed in units $\frac{moles}{liters}$ .

<h3>Concentration of CH₃OH</h3>

In this case, you know:

number of moles= 50 g× $\frac{1 mole}{32.04 g}$ = 1.56 moles, being 32.04 $\frac{g}{mole}$ the molar mass of CH₃OH
volume= 500 mL= 0.5 L (being 1000 mL= 1 L)

Replacing in the definition of molarity:

$Molarity=\frac{1.56 moles}{0.500 L}$

Solving:

Molarity= 3.12 $\frac{moles}{liters}$

Finally, the concentration of CH₃OH in the solution is 3.12 $\frac{moles}{liters}$ .

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