Final answer:
To find the number of grams in a given number of molecules, you can use the concept of molar mass. By multiplying the number of molecules by the ratio of moles to molecules and the molar mass, you can calculate the number of grams. Using the molar mass of each compound and the given values, we can calculate the number of grams or molecules as required.
Step-by-step explanation:
To find the number of grams in 5.40 x 10²⁴ molecules of H₂O, we need to use the concept of molar mass. The molar mass of H₂O is 18.015 g/mol. Using this information, we can calculate:
Number of grams = (5.40 x 10²⁴ molecules) x (1 mol / 6.022 x 10²³ molecules) x (18.015 g/mol) = 162.2 grams
Similarly, to find the number of grams of caffeine (C₈H₁₀N₄O₂) in 6.50 x 10²² molecules, we can calculate:
Number of grams = (6.50 x 10²² molecules) x (1 mol / 6.022 x 10²³ molecules) x (194.19 g/mol) = 0.214 grams
To find the number of molecules of fructose (C₆H₁₂O₆) in 93.0 grams, we can calculate:
Number of molecules = (93.0 grams) x (1 mol / 180.16 g/mol) x (6.022 x 10²³ molecules / 1 mol) = 2.58 x 10²³ molecules
Finally, to find the number of molecules in 84.0 grams of ammonia (NH₃), we can calculate:
Number of molecules = (84.0 grams) x (1 mol / 17.03 g/mol) x (6.022 x 10²³ molecules / 1 mol) = 1.75 x 10²⁴ molecules
For the compound isopentyl acetate (C₇H₁₄O₂), to find the number of molecules in 5.00 grams, we can calculate:
Number of molecules = (5.00 grams) x (1 mol / 130.19 g/mol) x (6.022 x 10²³ molecules / 1 mol) = 2.31 x 10²² molecules