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Two samples of sodium chloride were decomposed into their constituent elements. One sample produced 1.78 g of sodium and 2.74 g of chlorine. Which of the following could be the results of the decomposition of the other sample, being consistent with the law of constant composition
I don't think you entered the complete problem.
Two samples of sodium chloride were decomposed into their constituent elements. One sample produced 1.78 g of sodium and 2.74 g of chlorine. Which of the following could be the results of the decomposition of the other sample, being consistent with the law of constant composition (also called the law of definite proportions or law of definite composition)?
Read the problem. You don't have all of the information. I would not understand it either.
To determine the possible results of the decomposition of the other sodium chloride sample, we need to understand the law of constant composition. This law states that a pure compound will always contain the same elements in the same proportion by mass.
In this case, we are given that one sample of sodium chloride produced 1.78 g of sodium and 2.74 g of chlorine. The total mass of the sample is the sum of the mass of sodium and chlorine, which is 1.78 g + 2.74 g = 4.52 g.
Since the sample consists of sodium chloride, the mass of sodium chloride in the sample before decomposition is also 4.52 g.
Now, let's consider the other sample. The mass of sodium in this sample is not given, but we know that sodium chloride consists of only sodium and chlorine. Therefore, the total mass of the other sample, just like the first sample, must also be 4.52 g.
To find the mass of chlorine in the other sample, we subtract the mass of sodium from the total mass:
Mass of chlorine = Total mass of the sample - Mass of sodium
Mass of chlorine = 4.52 g - mass of sodium
Now, let's check the options provided and see which one is consistent with the law of constant composition. We are looking for an option where the mass of chlorine is the same as 2.74 g. So we can plug this value into the formula:
Mass of chlorine = 4.52 g - mass of sodium
Now, we need to find an option where the equation: 2.74 g = 4.52 g - mass of sodium, holds true.
Let's calculate the possible mass of sodium for each option:
Option 1:
mass of sodium = 4.52 g - 2.74 g = 1.78 g (consistent with the given data)
Option 2:
mass of sodium = 4.52 g - 0.68 g = 3.84 g (not consistent with the given data)
Option 3:
mass of sodium = 4.52 g - 2.32 g = 2.20 g (not consistent with the given data)
Option 4:
mass of sodium = 4.52 g - 3.74 g = 0.78 g (not consistent with the given data)
Based on the calculations, only Option 1, where the mass of sodium is 1.78 g, is consistent with the law of constant composition and the given data.
Therefore, the other sample could have produced 1.78 g of sodium and 2.74 g of chlorine.