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The number of Na atom in 46 g Na (Atomic...

The number of Na atom in 46 g Na (Atomic weight
of Na = 23 ) is

A

`6.023xx10^(23)`

B

2

C

1

D

`12.046xx10^(23)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of sodium (Na) atoms in 46 grams of sodium, we can follow these steps: ### Step 1: Determine the number of moles of sodium in 46 grams. To do this, we use the formula: \[ \text{Number of moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \] Given: - Mass of sodium = 46 g - Molar mass of sodium (Na) = 23 g/mol Substituting the values: \[ \text{Number of moles} = \frac{46 \, \text{g}}{23 \, \text{g/mol}} = 2 \, \text{moles} \] ### Step 2: Calculate the number of atoms in the moles of sodium. We know that one mole of any substance contains Avogadro's number of particles (atoms, in this case). Avogadro's number is approximately: \[ 6.022 \times 10^{23} \, \text{atoms/mole} \] Now, we can calculate the total number of sodium atoms: \[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \] Substituting the values: \[ \text{Number of atoms} = 2 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} = 12.044 \times 10^{23} \, \text{atoms} \] ### Final Answer: The number of sodium atoms in 46 grams of sodium is approximately: \[ 12.044 \times 10^{23} \, \text{atoms} \] ---

To find the number of sodium (Na) atoms in 46 grams of sodium, we can follow these steps: ### Step 1: Determine the number of moles of sodium in 46 grams. To do this, we use the formula: \[ \text{Number of moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \] Given: ...
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Knowledge Check

  • The number of atoms in 0.1 mol of a triatomic gas is (N_A = 6.023 xx 10^(23) mol^(-1))

    A
    `6.023 xx 10^(22)`
    B
    `1.806 xx 10^(22)`
    C
    `3.600 xx 10^(23)`
    D
    `1.800 xx 10^(22)`
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    A
    `6.026 xx 10^(22)`
    B
    `1.806 xx 10^(23)`
    C
    `3.600 xx 10^(23)`
    D
    `1.800 xx 10^(22)`
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