Answer:
557.7 L
Explanation:
1 mol → 6.02×10²³ molecules at STP produces 22.4L
Therefore, we need to know how many moles are 1.5 ×10²⁵ molecules
( 1.5 ×10²⁵ molecules / 6.02×10²³ molecules) . 1 mol = 24.9 moles
Let's make a rule of three:
1 mol can produce at STP a volume of 22.4 L
24.9 moles may produce at STP a volume of (24.9 . 22.4)/1 = 557.7 L
Let's verify by the Ideal Gases Law
P . V = n . R . T → V = (n . R . T ) / P
STP → Pressure = 1 atm, T = 273 K
V = (24.9 mol . 0.082 L.atm/mol.K . 273 K) / 1 atm → 557.4 L
