Answer:
2000 L
General Formulas and Concepts:
Atomic Structure
- Moles
- Temperature Conversion: K = °C + 273.15
Gas Laws
Ideal Gas Law: PV = nRT
- P is pressure
- V is volume (in L)
- n is number of moles
- R is gas constant
- T is temperature (in K)
Explanation:
Step 1: Define
[Given] 8.8 moles gas
[Given] 0.12 atm
[Given] 56 °C = 329.15 K
Step 2: Solve for V
- Substitute in variables [Ideal Gas Law Formula]: [tex]\displaystyle (0.12 \ atm)V = (8.8 \ mol)(0.0821 \ \frac{L \cdot atm}{mol \cdot K})(329.15 \ K)[/tex]
- Isolate V: [tex]\displaystyle V = \frac{(8.8 \ mol)(0.0821 \ \frac{L \cdot atm}{mol \cdot K})(329.15 \ K)}{(0.12 \ atm)}[/tex]
- Multiply/Divide [Cancel out units]: [tex]\displaystyle V = 1981.7 \ L[/tex]
Step 3: Check
Follow sig fig rules and round. We are given 2 sig figs.
1981.7 L ≈ 2000 L
