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Ira Lisetskai [31]
3 years ago
10

A pool is 44.6 m long and 27.6 m wide. If the average depth of water is 8.80 ft, what is the mass (in kg) of water in the pool?

Enter your answer in scientific notation.
Chemistry
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

  • <em><u>3.30 × 10⁶ kg</u></em>

Explanation:

The form of the pool may be approximated to a reactangular prism with height equal to the average depth of water.

<u>1) Dimensions:</u>

  • Length: 44.6 m
  • Wide: 27.6 m
  • Height: 8.80 ft

<u>2) Volume formula</u>

  • V = length × width × height

<u>3) Unit conversions</u>

Convert 8.80 ft to meters:

  • 1 ft = 0.3048 m ⇒ 1 = 0.3048 m/ft

  • 8.80 ft × 0.3048 m/ft = 2.68 m

<u>4) Volume calculation</u>

Substitute the numbers in the formula:

  • V = length × width × height = 44.6 m × 27.6 m × 2.68 m ≈ 3,298.97 m³ ≈ 3,300 m³ (it is rounded to three significant digits)

<u>5) Mass of water:</u>

  • Density = mass / volume ⇒ mass = density × mass
  • Density of water = 1,000 kg / m³
  • mass = 3,300 m³ × 1,000 kg / m³ = 3,300,000 kg

<em><u>6) Scientific notation</u></em>

Choose the correct number of significant figures:

  • Since the three given factors have 3 significant figures, the correct number of significant figures of the volume and the mass is 3.

The mass must be expressed as a power of ten. The mantissa contains only the significant digits, and the number before the decimal point can only have one digit 1 through 9.

  • 3,300,000 kg =  3.30 × 10⁶ kg
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A solution of Cuso, is labelled 1.743 M. How much Cuso, in grams, must be used to make
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Answer:

Option A. 416.1 g.

Explanation:

Data obtained from the question include the following:

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Next, we shall determine mole of CuSO4 present in the solution.

This is illustrated below:

Molarity is simply defined as the mole of solute per unit litre of the solution. Mathematically, it is expressed as:

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2.607 = mass of CuSO4 /159.61

Cross multiply

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The answer:
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3 years ago
Which of the following is not equal to 435 dm?
KatRina [158]

Answer:

Option C, 4350 cm

Explanation:

One deci meter is equal to ten centi meter,

Given value of length = 435 deci meter

Deci meter is a unit higher than centi meter and hence in order to convert a higher order unit to a small order unit, it must be multiplied by ten or the equivalent.

Thus, measured values in centi meters is equal to

Value is deci-meter * 10

435 * 10\\4350

4350 centi meters.

Option C is correct

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