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Calculate the volume of 3.5 mol of a gas at STP. \( O=3.5 \times 22.4 \mathrm{~L} \) \( O=\frac{3.5}{22.4} \mathrm{~L} \) \( O=\frac{22.5}{3.5} \mathrm{~L} \)

Ask by Chavez Bird. in the United States
Feb 03,2025

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The volume of 3.5 mol of a gas at STP is 78.4 liters.

Solución

To calculate the volume of 3.5 mol of a gas at Standard Temperature and Pressure (STP), we can use the molar volume of a gas at STP, which is 22.4 liters per mole. Given: - Number of moles of gas = 3.5 mol - Molar volume at STP = 22.4 L/mol The volume of 3.5 mol of a gas at STP can be calculated using the formula: \[ \text{Volume} = \text{Number of moles} \times \text{Molar volume} \] Substitute the given values into the formula: \[ \text{Volume} = 3.5 \, \text{mol} \times 22.4 \, \text{L/mol} \] Now, we can calculate the volume. Calculate the value by following steps: - step0: Calculate: \(3.5\times 22.4\) - step1: Multiply the numbers: \(78.4\) The volume of 3.5 mol of a gas at STP is 78.4 liters.

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Mind Expander

To calculate the volume of a gas at Standard Temperature and Pressure (STP), we apply the fact that 1 mole of an ideal gas occupies 22.4 liters. Therefore, for 3.5 moles of gas, the volume can be calculated using the formula: \[ \text{Volume} = 3.5 \, \text{mol} \times 22.4 \, \text{L/mol} = 78.4 \, \text{L} \] There's no need to use the other equations provided, as they will yield incorrect results. Stick to the 22.4 L per mole rule at STP for accurate calculations! Did you know that STP conditions (0 °C and 1 atm) have been pivotal in standardizing gas measurements? Scientists use these conditions to ensure consistency in experimentation and data comparison. That way, when you're saying air is at a specific volume or pressure, everyone knows exactly what you mean! Understanding gas laws doesn’t just stop at calculations. In the real world, knowing these principles can help in gas storage, earning efficiencies in cooking (like how much gas your stove actually consumes). It’s also key in fields like meteorology, where predicting weather patterns relies on understanding how gases behave under varying temperatures and pressures!

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