How many moles of CO2 is needed to fill an 80.0 L tank to a pressure of 150.0 atm at 27.0°C?

487 moles of CO2 is needed

Explanation:

What we need to use here is the ideal gas equation.

Mathematically;

PV = nRT

Since we are calculating the number of moles, we can rewrite the equation to be;

n = PV/RT

from the question, we identify the following;

P is the pressure at 150 atm

V is the volume at 80L

T is the temperature which is 27+273 = 300K

R is the molar gas constant which is 0.0821 L atm K^-1 mol^-1

Substituting these values, we have;

n = (150 * 80) / (0.0821 * 300) = 487.2 which is approximately 487 moles