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1.00 g of oxygen combine with 0.126 g of...

1.00 g of oxygen combine with 0.126 g of hydrogen to form `H_2O` .1.00 g of nitrogen combine with 0.216g of hydrogen to form `NH_3`. Predict the weight of oxygen required to combine with 1.00 g of nitrogen to form an oxide.

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To solve the problem, we will use the law of reciprocal proportions. Let's break down the steps: ### Step-by-Step Solution: 1. **Identify the Given Data**: - 1.00 g of oxygen combines with 0.126 g of hydrogen to form water (H₂O). - 1.00 g of nitrogen combines with 0.216 g of hydrogen to form ammonia (NH₃). 2. **Use the Law of Reciprocal Proportions**: - According to the law, if a certain amount of one element (hydrogen) reacts with two different elements (oxygen and nitrogen), we can find the ratio of the elements involved. 3. **Calculate the Amount of Oxygen Required for 0.216 g of Hydrogen**: - We know from the first reaction that 0.126 g of hydrogen reacts with 1.00 g of oxygen. - We need to find out how much oxygen reacts with 0.216 g of hydrogen. - Set up the proportion: \[ \text{If } 0.126 \text{ g H} \text{ reacts with } 1.00 \text{ g O, then } 0.216 \text{ g H reacts with } x \text{ g O.} \] - This can be expressed as: \[ x = \frac{0.216 \text{ g H} \times 1.00 \text{ g O}}{0.126 \text{ g H}}. \] 4. **Calculate x**: - Performing the calculation: \[ x = \frac{0.216 \times 1.00}{0.126} = 1.7143 \text{ g O} \approx 1.71 \text{ g O}. \] 5. **Determine the Ratio of Nitrogen to Oxygen**: - From the second reaction, we know that 0.216 g of hydrogen reacts with 1.00 g of nitrogen. - Now we have determined that 0.216 g of hydrogen reacts with approximately 1.71 g of oxygen. - Therefore, the mass ratio of nitrogen to oxygen can be established as: \[ \text{Mass ratio of N to O} = \frac{1.00 \text{ g N}}{1.71 \text{ g O}}. \] 6. **Conclusion**: - From the above calculations, we conclude that 1.71 g of oxygen will combine with 1.00 g of nitrogen to form an oxide. ### Final Answer: Hence, the weight of oxygen required to combine with 1.00 g of nitrogen to form an oxide is **1.71 g**.
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