Upon decomposition, one sample of magnesium fluoride produced 1.65 of magnesium and 2.57 of fluorine. A second sample produced 1.38 of magnesium. How much fluorine (in grams) did the second sample produce?
? = 2.57 x (1.38/1.65)
To determine how much fluorine the second sample produced, we can use the ratios of magnesium and fluorine from the first sample to find the ratio of magnesium to fluorine. Then we can use that ratio to calculate the amount of fluorine produced in the second sample.
Let's start by calculating the ratio of magnesium to fluorine in the first sample:
- Mass of magnesium produced in the first sample = 1.65 grams
- Mass of fluorine produced in the first sample = 2.57 grams
Now, divide the mass of magnesium by the mass of fluorine:
Ratio of magnesium to fluorine in the first sample = 1.65 g / 2.57 g
Simplify this ratio:
Ratio of magnesium to fluorine = 0.64
Now, we can use this ratio to find the mass of fluorine produced in the second sample, given the mass of magnesium produced:
- Mass of magnesium produced in the second sample = 1.38 grams
Multiply the mass of magnesium by the ratio of magnesium to fluorine:
Mass of fluorine produced in the second sample = 1.38 g * 0.64
Mass of fluorine produced in the second sample = 0.8832 grams
So, the second sample of magnesium fluoride produced 0.8832 grams of fluorine.