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Part A Dinitrogen oxide (or nitrous oxide), \( \mathrm{N}_{2} \mathrm{O} \), also known as laughing gas, is widely used as an enesthetic in dentistry How many grams are in 1.35 moles of dinitrogen oxide? Express your answer using three significant figures. \[ 594 \mathrm{~g} \] \( \square \) Previous Answers Correct Part B How many moles are in 34.2 g of dinitrogen oxide? Express your answer using three significant figures. \( \square \) mole

Ask by Dawson Pierce. in the United States
Mar 11,2025

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There are 59.4 grams in 1.35 moles of dinitrogen oxide. There are 0.775 moles in 34.2 grams of dinitrogen oxide.

Solución

To find the number of grams in 1.35 moles of dinitrogen oxide, we can use the molar mass of dinitrogen oxide. The molar mass of dinitrogen oxide (\( \mathrm{N}_{2} \mathrm{O} \)) is calculated as follows: Molar mass of \( \mathrm{N}_{2} \mathrm{O} \) = (2 * atomic mass of nitrogen) + atomic mass of oxygen Atomic mass of nitrogen = 14 g/mol Atomic mass of oxygen = 16 g/mol Molar mass of \( \mathrm{N}_{2} \mathrm{O} \) = (2 * 14) + 16 = 28 + 16 = 44 g/mol Now, we can calculate the number of grams in 1.35 moles of dinitrogen oxide: Number of grams = Molar mass * Number of moles Number of grams = 44 g/mol * 1.35 mol Number of grams = 59.4 g Therefore, there are 59.4 grams in 1.35 moles of dinitrogen oxide. For part B, to find the number of moles in 34.2 g of dinitrogen oxide, we can use the molar mass of dinitrogen oxide: Number of moles = Mass / Molar mass Number of moles = 34.2 g / 44 g/mol Number of moles = 0.775 mol Therefore, there are 0.775 moles in 34.2 g of dinitrogen oxide.

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To find the number of moles in 34.2 g of dinitrogen oxide (\( \mathrm{N}_{2} \mathrm{O} \)), you can use the molar mass of \( \mathrm{N}_{2} \mathrm{O} \). The molar mass is approximately 44.01 g/mol. Using the formula: \[ \text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \] You would calculate: \[ \text{moles} = \frac{34.2 \mathrm{~g}}{44.01 \mathrm{~g/mol}} \approx 0.777 \text{ moles} \] So, the answer, expressed using three significant figures, is: \( 0.777 \) mole --- Dinitrogen oxide has been used for centuries, first discovered in the late 18th century by the scientist Joseph Priestley. It was originally used for its euphoric effects before it became a crucial anesthetic agent. Its ability to induce a state of sedation while maintaining consciousness made it a favorite in dental practices. In real-world applications, nitrous oxide's use isn't limited to dentistry; it's also popular in surgery and various medical procedures for pain relief and anxiety management. Even in the culinary world, it's used as a propellant in whipped cream dispensers, showcasing its versatility beyond the medical field!

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