a metal p forms 2 different chlorides x and y. if 12.7g of chloride x and 16.3g of chloride y contain 7.1g 10.7g of chlorine respectively, show that the figures agree with the law of multiple proportion
To show that the figures agree with the law of multiple proportions, we need to compare the ratio of masses of chlorine in chloride x and chloride y.
Given:
Mass of chloride x (mx) = 12.7g
Mass of chloride y (my) = 16.3g
Mass of chlorine in chloride x (mcx) = 7.1g
Mass of chlorine in chloride y (mcy) = 10.7g
We can calculate the ratio of masses of chlorine in the two chlorides as follows:
Ratio of chlorine in chloride x:
rx = mcx / mx = 7.1g / 12.7g
Ratio of chlorine in chloride y:
ry = mcy / my = 10.7g / 16.3g
Now let's simplify the ratios:
rx = 0.5591
ry = 0.6564
If the figures agree with the law of multiple proportions, the ratio of the masses of chlorine in the two chlorides should be a simple whole-number ratio.
To check if this is the case, we can divide both ratios by the smallest value:
rx / 0.5591 = 1
ry / 0.5591 ≈ 1.1741
Both results are close to 1, but not a simple whole-number ratio. Therefore, the figures do not exactly agree with the law of multiple proportions. This may indicate experimental error or limitations in the accuracy of the measurements.
To determine if the figures agree with the law of multiple proportions, we need to compare the masses of Chlorine (Cl) in each chloride to see if they are in simple ratios.
Let's start by calculating the ratio of Chlorine (Cl) in chloride X.
Mass of Cl in chloride X = 7.1g
Mass of chloride X = 12.7g
Now, we can calculate:
Ratio of Cl in chloride X = Mass of Cl / Mass of chloride X
= 7.1g / 12.7g
= 0.559
Next, let's calculate the ratio of Chlorine (Cl) in chloride Y.
Mass of Cl in chloride Y = 10.7g
Mass of chloride Y = 16.3g
Now, we can calculate:
Ratio of Cl in chloride Y = Mass of Cl / Mass of chloride Y
= 10.7g / 16.3g
= 0.657
Comparing the two ratios, we find that:
Ratio of Cl in chloride X : Ratio of Cl in chloride Y
= 0.559 : 0.657
Simplifying the ratio, we get:
Ratio of Cl in chloride X : Ratio of Cl in chloride Y
= 8 : 9
This shows that the ratio of Chlorine (Cl) in chloride X and chloride Y is in a simple whole number ratio, which confirms that the figures agree with the law of multiple proportions.