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KCL contains 52 % of potassium, Kl conta...

`KCL` contains 52 % of potassium, `Kl` contains 23.6% of potassium, and `ICI` contains 77.8% of iodine. Show that the above data is in agreement with the law of reciprocal proportions.

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To show that the given data is in agreement with the law of reciprocal proportions, we will follow these steps: ### Step 1: Gather the Data We have the following information: - KCl contains 52% potassium (K) and 48% chlorine (Cl). - KI contains 23.6% potassium (K) and 76.4% iodine (I). - ICl contains 77.8% iodine (I) and 22.2% chlorine (Cl). ### Step 2: Calculate the Mass Ratios We will calculate the mass ratios of potassium and iodine that react with a fixed mass of chlorine. 1. **For KCl:** - Mass of Cl = 48 g - Mass of K = 52 g - Ratio of K to Cl = 52 g K / 48 g Cl = 1.08 g K per 1 g Cl 2. **For ICl:** - Mass of I = 77.8 g - Mass of Cl = 22.2 g - Ratio of I to Cl = 77.8 g I / 22.2 g Cl = 3.5 g I per 1 g Cl ### Step 3: Establish the Ratios Now, we can compare the ratios of potassium and iodine that react with the same mass of chlorine. - From KCl: 1.08 g K reacts with 1 g Cl - From ICl: 3.5 g I reacts with 1 g Cl ### Step 4: Calculate the Ratio of Potassium to Iodine To find the ratio of potassium to iodine, we can set up the following relationship based on the previous calculations: - Ratio of K to I = (1.08 g K) / (3.5 g I) ### Step 5: Simplify the Ratio Now we simplify the ratio: 1.08 / 3.5 = 0.30857 To express this in a more understandable form, we can multiply both sides to find a simple ratio: Let’s express it as: - K : I = 1 : (3.5 / 1.08) Calculating this gives us approximately: - K : I = 1 : 3.24 ### Step 6: Compare with KI Now we will also calculate the ratio from KI: - KI contains 23.6% K and 76.4% I. - Ratio of K to I in KI = 23.6 g K / 76.4 g I = 0.30857 ### Conclusion Both ratios derived from KCl and KI are approximately equal, confirming that the data is in agreement with the law of reciprocal proportions. ### Final Result Thus, we conclude that the data supports the law of reciprocal proportions, as the ratios of the masses of potassium and iodine that react with a fixed mass of chlorine are consistent.

To show that the given data is in agreement with the law of reciprocal proportions, we will follow these steps: ### Step 1: Gather the Data We have the following information: - KCl contains 52% potassium (K) and 48% chlorine (Cl). - KI contains 23.6% potassium (K) and 76.4% iodine (I). - ICl contains 77.8% iodine (I) and 22.2% chlorine (Cl). ...
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