Question

when the explosion occurred, the o₂ tank lost 145,000 g of o₂ and power from two fuel cells forcing the astronauts into the lunar module. how many moles of o₂ were lost in the explosion? show all of your work. you must be able to prove your answer. 1.00 moles 32.00 moles 3290 moles 4530 moles

Explanation:

Step1: Recall molar mass of O₂

Molar mass of O is 16.00 g/mol, so for O₂, it's \(2\times16.00 = 32.00\) g/mol.

Step2: Use moles formula

Moles \(n=\frac{\text{mass}(m)}{\text{molar mass}(M)}\). Given \(m = 145000\) g, \(M = 32.00\) g/mol.
\(n=\frac{145000}{32.00}\approx4531.25\), which is approximately 4530 moles (considering significant figures or rounding). Wait, no, wait: Wait, 145000 divided by 32: 145000 ÷ 32 = 4531.25, but wait, maybe I miscalculated. Wait, no, wait the options: Wait, 145000 g O₂. Molar mass O₂ is 32 g/mol. So moles = 145000 / 32. Let's calculate: 32 × 4530 = 32×4500=144000, 32×30=960, total 144960. 145000 - 144960 = 40, so 4530 + 40/32 = 4530 + 1.25 = 4531.25. But the option is 4530 Moles. Wait, maybe the question has a typo or rounding. Wait, no, wait maybe I messed up. Wait, 145000 g O₂. Molar mass O₂ is 32 g/mol. So 145000 / 32 = 4531.25, which is approximately 4530 (if we round to three significant figures? Wait 145000 has three significant figures? 1,4,5, then trailing zeros? Maybe it's 1.45×10⁵ g. Then 1.45×10⁵ / 32 = (1.45/32)×10⁵ ≈ 0.0453125×10⁵ = 4531.25, so approximately 4530 moles. Wait, but let's check again. Wait, maybe I made a mistake in molar mass? No, O is 16, so O₂ is 32. So 145000 / 32 = 4531.25, which is closest to 4530 Moles. Wait, but wait the options: 4530 Moles is an option. Wait, but wait, maybe I miscalculated. Wait 32×4530 = 32×4500=144000, 32×30=960, 144000+960=144960. 145000-144960=40, so 4530 + 40/32=4530+1.25=4531.25. So the closest option is 4530 Moles. Wait, but wait the initial calculation: Wait, no, wait 145000 divided by 32: 32×4500=144000, 145000-144000=1000, 1000/32=31.25, so total 4500+31.25=4531.25, so approximately 4530. So the answer is 4530 Moles.

Answer:

4530 Moles (the option: 4530 Moles)