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natali 33 [55]
2 years ago
7

3. A thin lead apron is used to protect patients from harmful X rays. If the sheet measures 75.0 cm by 55.0 cm by 0.10 cm, and t

he density of lead is 11.3 g/cm3, what is the mass of the apron in grams?
Chemistry
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

4.67 kg

Explanation:

Given data

  • Dimensions of the lead sheet: 75.0 cm by 55.0 cm by 0.10 cm
  • Density of lead: 11.3 g/cm³

Step 1: Calculate the volume of the sheet

The volume of the sheet is equal to the product of its dimensions.

V = 75.0 cm \times  55.0 cm \times 0.10 cm = 413 cm^{3}

Step 2: Calculate the mass of the sheet

The density (ρ) is equal to the mass divided by the volume.

\rho = \frac{m}{V} \\m = \rho \times V = \frac{11.3g}{cm^{3} }  \times 413cm^{3} = 4.67 \times 10^{3} g = 4.67 kg

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