Question

please help ME WITH CHEM I DONT HAVE ENOUGH TIME! calculate the number of hydrogen molecules that it would have contained at stp if it had a volume of 200,00m cubed.​

Answer 1

We know that, at STP, one mole of a gas occupies 22.4 L of volume

we'll use the same principle to solve this problem

Converting given volume to Liters:

We know that 1 m³ = 1000 L

So, 20000 m³ = (20000)*(1000) L = 2 * 10⁷ L

Converting Liters to moles:

As mentioned above, at STP, one mole occupies 22.4 Liters

Number of moles in 2 * 10⁷ L = 2 * 10⁷ / 22.4

Number of moles = 8.9 * 10⁵ moles

Converting moles to number of particles:

We know that 1 mole contains 6.022 * 10²³ molecules

So, 8.9 * 10⁵ moles contain [(8.9 * 10⁵) * (6.022 * 10²³)] molecules

Number of molecules = 53.6 * 10²⁸ molecules

In proper scientific notation:

Number of molecules = 5.36 * 10²⁹ molecules