SAT Chemistry

Category - Multiple Choice

Using the ideal gas equation, find the pressure of 22.4L of helium at 273K when n=1.00 mol. Adjust this calculation using the real gas equation to find the actual pressure. What are the ideal and real pressures?
  1. 1.00 atm, 1.20 atm
  2. 1.0 atm, 1.00 atm
  3. 1.5 atm, 1.20 atm
  4. 1.5 atm, 1.00 atm
  5. 2.0 atm, 1.20 atm
Explanation
Answer: B. Solution is as follows:

PV=nRT
P=pressure (atm)
V=volume (22.4L)
n=amount (1 mol)
R = constant (0.08206 L*atm/mol*K)
T = temperature (273K)

Ideal gas equaion gives P=1.0atm
a=0.03412 (L2*atm/mol2)
b= 0.02370 (L/mol)

(P+(an2/V2))(V-nb)=nRT
By substituting in the known values of V, n, R, and T, you solve for P=1.001atm, or 1.00atm with significant figures.
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