Calculate the number of moles.1.2,8g of N2 2.5,6 dm to the power three O2 STP

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Here are the calculations for the number of moles:

1. For 2.8 g of N $_{2}$

Determine the molar mass of N $_{2}$ .
The atomic mass of nitrogen (N) is approximately $14.01 \text{ g/mol}$ .
Since N $_{2}$ has two nitrogen atoms, its molar mass is:
$\text{Molar mass of N}_{2} = 2 \times 14.01 \text{ g/mol} = 28.02 \text{ g/mol}$
Calculate the number of moles using the given mass and molar mass.
$\text{Number of moles} = \frac{\text{Mass}}{\text{Molar mass}}$ $\text{Number of moles} = \frac{2.8 \text{ g}}{28.02 \text{ g/mol}}$ $\text{Number of moles} \approx 0.0999 \text{ mol}$ $\text{Number of moles} \approx \boxed{0.10 \text{ mol}}$
2. For 5.6 dm $^{3}$ of O $_{2}$ at STP
Recall the molar volume of a gas at Standard Temperature and Pressure (STP).
At STP, one mole of any ideal gas occupies $22.4 \text{ dm}^{3}$ .
Calculate the number of moles using the given volume and molar volume at STP.
$\text{Number of moles} = \frac{\text{Volume}}{\text{Molar volume at STP}}$ $\text{Number of moles} = \frac{5.6 \text{ dm}^{3}}{22.4 \text{ dm}^{3}\text{/mol}}$ $\text{Number of moles} = 0.25 \text{ mol}$ $\text{Number of moles} = \boxed{0.25 \text{ mol}}$

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