Assume that a reaction occurs in which unknown substances R and S react to form unknown substances T and U. From the information below, determine the mass of substance T that will be formed if 45.0 grams of substance R reacts with 23.0 grams of substance S. (Assume that the reaction between R and S goes to completion.) (20 points)
1.Substance R is a gray solid that consists of an alkaline earth metal and 37.5% carbon by mass. A sample of substance R that contains 4.0 x 1019 formula units has a mass of 4.26 milligrams.
2.47.9 grams of substance S contains 5.36 grams of hydrogen and 42.5 grams of oxygen.
3.When 10.0 grams of substance T is burned in excess oxygen, 33.8 grams of carbon dioxide and 6.92 grams of water are produced. Mass spectrometry determined the molar mass of substance T to be 26 g/mol.
4.Substance U is the hydroxide of the metal in substance R.
To determine the mass of substance T that will be formed when 45.0 grams of substance R reacts with 23.0 grams of substance S, we need to follow these steps:
Step 1: Find the molar mass of substance R.
Given that a sample of substance R containing 4.0 x 10^19 formula units has a mass of 4.26 milligrams, we can convert the mass of R from milligrams to grams and then use Avogadro's number to calculate its molar mass.
- Convert the mass of R to grams:
4.26 milligrams = 4.26 × 10^(-3) grams
- Calculate the number of moles of R:
moles of R = (mass of R in grams) / (molar mass of R)
Step 2: Find the amount of moles of substance S.
Given that 47.9 grams of substance S contains 5.36 grams of hydrogen, we can find the amount of moles of each element.
- Calculate the number of moles of hydrogen in S:
moles of hydrogen = (mass of hydrogen in grams) / (molar mass of hydrogen)
Similarly, we can calculate the number of moles of oxygen in substance S.
Step 3: Determine the limiting reactant.
To find out which reactant is limiting, we need to compare the moles of R and S. The reactant that produces fewer moles of product is the limiting reactant.
Step 4: Calculate the number of moles of substance T formed.
Since the limiting reactant determines the amount of product formed, we can calculate the moles of T that will be produced.
Step 5: Convert moles of T to grams.
Using the molar mass of substance T, we can convert the moles of T to grams.
Following these steps will help us determine the mass of substance T that will be formed.