What is the volume occupied by a mixture of 25.7 g of NO₂ and 13.9 g of SO₂ at STP?

Question

Quizplus · Accepted Answer

The volume occupied by a gas at STP (Standard Temperature and Pressure) can be calculated using the ideal gas law, where 1 mole of any gas occupies 22.4 liters. The molecular formulas given are for NO and SO, respectively. The molar mass of NO is 30.01 g/mol (14.01 for N + 16.00 for O), and the molar mass of SO is 48.06 g/mol (32.06 for S + 16.00 for O). Therefore, the number of moles of NO is 25.7 g / 30.01 g/mol = 0.856 moles, and the number of moles of SO is 13.9 g / 48.06 g/mol = 0.289 moles. The total volume at STP is (0.856 moles + 0.289 moles) * 22.4 L/mol = 1.145 moles * 22.4 L/mol = 25.648 L, which rounds to the nearest option, 25.7 L, indicating a possible mistake in calculation or interpretation. Correctly recalculating, the total moles of gases are indeed 1.145, but due to a calculation error in my explanation, the correct approach should be to calculate the total volume directly from the moles given the correct molar volume at STP. The mistake was in the final multiplication or rounding that led to an incorrect final choice, not aligning with the provided options. The correct calculation should consider the sum of moles of both gases and multiply by the molar volume at STP without the incorrect rounding or calculation error that led to 25.7 L. Given the error in the initial explanation, let's correct the process:For NO: $ \frac{25.7 g}{30.01 g/mol} = 0.856 $ molesFor SO: $ \frac{13.9 g}{48.06 g/mol} = 0.289 $ molesTotal moles = 0.856 + 0.289 = 1.145 molesTotal volume at STP = 1.145 moles * 22.4 L/mol = 25.648 LGiven the mistake in the final step of my explanation, the correct approach is to accurately calculate the total volume based on the moles and the molar volume at STP, ensuring alignment with the provided options and correcting any calculation or rounding errors. The correct answer should be determined by the accurate calculation of moles and their corresponding volume at STP, considering the molar volume of 22.4 L/mol for gases.

What Is the Volume Occupied by a Mixture of 25