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The weight of 1 mole of a gas of density...

The weight of 1 mole of a gas of density `0.2843gL^(-)`at NTP is

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To find the weight of 1 mole of a gas with a given density at Normal Temperature and Pressure (NTP), we can use the relationship between mass, volume, and density. ### Step-by-Step Solution: 1. **Understand the relationship between mass, volume, and density**: The mass of a substance can be calculated using the formula: \[ \text{Mass} = \text{Density} \times \text{Volume} \] 2. **Identify the volume of 1 mole of gas at NTP**: At NTP (Normal Temperature and Pressure), 1 mole of any ideal gas occupies a volume of: \[ V = 22.4 \, \text{L} \] 3. **Use the given density**: The density of the gas is given as: \[ \text{Density} = 0.2843 \, \text{g/L} \] 4. **Calculate the mass of 1 mole of the gas**: Using the formula from step 1, we can substitute the values for density and volume: \[ \text{Mass} = \text{Density} \times \text{Volume} = 0.2843 \, \text{g/L} \times 22.4 \, \text{L} \] 5. **Perform the multiplication**: \[ \text{Mass} = 0.2843 \times 22.4 = 6.36832 \, \text{g} \] 6. **Round the result**: The mass of the gas can be rounded to an appropriate number of significant figures: \[ \text{Mass} \approx 6.37 \, \text{g} \] ### Final Answer: The weight of 1 mole of the gas is approximately **6.37 grams**.
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