Answer:
6.3 atm
General Formulas and Concepts:
Atomic Structure
- Reading a Periodic Table
- Moles
Ideal Gas Law
Ideal Gas Law Formula: PV = nRT
- P is pressure (in atm)
- V is volume (in L)
- n is number of moles
- R is gas constant (0.0821 L · atm · mol⁻¹ · K⁻¹)
- T is temperature (in K)
Explanation:
Step 1: Define
Identify variables
[Given] n = 3.2 mol O₂
[Given] V = 12.3 L
[Given] T = 294 K
[Solve] P
Step 2: Solve for P
- Substitute in variables [Ideal Gas Law Formula]: P(12.3 L) = (3.2 mol)(0.0821 L · atm · mol⁻¹ · K⁻¹)(294 K)
- Multiply [Cancel out units]: P(12.3 L) = 77.2397 L · atm
- Isolate P [Cancel out units]: P = 6.27965 atm
Step 3: Check
Follow sig figs and round. We are given 2 sig figs as our lowest.
6.27965 atm ≈ 6.3 atm
