Answer: To solve this problem, we need to use the Avogadro's number, which represents the number of particles (molecules or atoms) in one mole of a substance. The Avogadro's number is approximately 6.022 x 10²³ particles per mole.
First, we need to calculate the number of moles of CO₂ molecules in 2.5 x 10²⁵ molecules:
n = N/N_A
where:
n = number of moles
N = number of molecules
N_A = Avogadro's number
n = 2.5 x 10²⁵ / 6.022 x 10²³
n = 41.56 mol
Next, we can use the molar mass of CO₂ to convert moles to grams. The molar mass of CO₂ is approximately 44 grams per mole.
m = n x M
where:
m = mass in grams
n = number of moles
M = molar mass
m = 41.56 mol x 44 g/mol
m = 1826.24 g
Therefore, there are approximately 1826.24 grams in 2.5 x 10²⁵ CO₂ molecules.
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Step-by-step explanation: