Final answer:
The volume of 2.84x10^23 molecules of H2 at STP can be calculated by first finding the number of moles, which is 0.472 moles, and then multiplying by the molar volume, which gives the occupied volume.
Step-by-step explanation:
To determine the volume that 2.84x1023 molecules of H2 gas would occupy, we need to understand the concept of the molar volume of a gas at standard temperature and pressure (STP). At STP, one mole (Avogadro's number, 6.02x1023 molecules) of any gas occupies 22.4 liters. Thus, the volume of 2.84x1023 molecules can be found using direct proportion.
First, we calculate the number of moles of H2 present:
Number of moles = 2.84x1023 molecules / 6.02x1023 molecules/mol
This gives us approximately 0.472 moles of H2. Next, we calculate the volume:
Volume = 0.472 moles * 22.4 liters/mole
This calculation will give us the volume that the specified number of H2 molecules will occupy at STP.