Questions: A brick has a mass of 4.0 kg and the Earth has a mass of 6.0 x 10^27 g. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. What is the mass of 1 mole of bricks? Round your answer to 2 significant digits.

A brick has a mass of 4.0 kg and the Earth has a mass of 6.0 x 10^27 g.
Use this information to answer the questions below. Be sure your answers have the correct number of significant digits.
What is the mass of 1 mole of bricks?
Round your answer to 2 significant digits.
Transcript text: A brick has a mass of 4.0 kg and the Earth has a mass of $6.0 \times 10^{27} \mathrm{~g}$. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. \begin{tabular}{|l|l|} \hline What is the mass of 1 mole of bricks? & \\ Round your answer to 2 significant digits. & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Understand the Given Information

We are given the mass of a single brick as \(4.0 \, \text{kg}\). We need to find the mass of 1 mole of bricks.

Step 2: Define a Mole

A mole is defined as \(6.022 \times 10^{23}\) entities (Avogadro's number).

Step 3: Calculate the Mass of 1 Mole of Bricks

To find the mass of 1 mole of bricks, we multiply the mass of one brick by Avogadro's number: \[ \text{Mass of 1 mole of bricks} = 4.0 \, \text{kg} \times 6.022 \times 10^{23} \]

Step 4: Perform the Calculation

\[ 4.0 \times 6.022 \times 10^{23} = 24.088 \times 10^{23} \, \text{kg} \]

Step 5: Round to 2 Significant Digits

Rounding \(24.088 \times 10^{23}\) to 2 significant digits: \[ 24 \times 10^{23} \, \text{kg} \]

Final Answer

\[ \boxed{2.4 \times 10^{24} \, \text{kg}} \]

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