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Calculate the number of molecules and nu...

Calculate the number of molecules and number of atoms present in 5.60 L of ozone (`O_(3)`) at N.T.P.

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To solve the problem of calculating the number of molecules and atoms present in 5.60 L of ozone (O₃) at N.T.P (Normal Temperature and Pressure), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Volume of One Mole at NTP:** At NTP, one mole of any gas occupies a volume of 22.4 liters. 2. **Calculate the Number of Moles in 5.60 L of Ozone:** We can use the unitary method to find out how many moles are present in 5.60 L of ozone. \[ \text{Number of moles} = \frac{\text{Volume of gas}}{\text{Volume of 1 mole}} = \frac{5.60 \, \text{L}}{22.4 \, \text{L/mol}} = 0.25 \, \text{moles} \] 3. **Calculate the Number of Molecules:** Using Avogadro's number, which is \(6.022 \times 10^{23}\) molecules per mole, we can find the number of molecules in 0.25 moles of ozone. \[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} = 0.25 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole} = 1.506 \times 10^{23} \, \text{molecules} \] 4. **Calculate the Number of Atoms:** Each molecule of ozone (O₃) contains 3 oxygen atoms. Therefore, to find the total number of atoms, we multiply the number of molecules by 3. \[ \text{Number of atoms} = \text{Number of molecules} \times 3 = 1.506 \times 10^{23} \, \text{molecules} \times 3 = 4.518 \times 10^{23} \, \text{atoms} \] ### Final Results: - Number of molecules of ozone in 5.60 L at NTP: \(1.506 \times 10^{23}\) - Number of atoms in 5.60 L of ozone at NTP: \(4.518 \times 10^{23}\)

To solve the problem of calculating the number of molecules and atoms present in 5.60 L of ozone (O₃) at N.T.P (Normal Temperature and Pressure), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Volume of One Mole at NTP:** At NTP, one mole of any gas occupies a volume of 22.4 liters. 2. **Calculate the Number of Moles in 5.60 L of Ozone:** ...
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