Answer :
Final answer:
To calculate the number of moles of O² gas in a 3700 mL container, we can use the ideal gas law equation PV = nRT. By plugging in the given values and solving for n, we find that there are approximately 0.162 moles of O² gas.
Explanation:
To find the number of moles of O² gas in a 3700 mL container, we need to use the ideal gas law equation PV = nRT. The given pressure is 775 mmHg, which can be converted to atmospheres by dividing by 760. The temperature needs to be converted to Kelvin by adding 273.15. The volume also needs to be converted to liters by dividing by 1000. Plugging these values into the equation, we can solve for n, which represents the number of moles.
Example calculation:
- Convert pressure to atmospheres: 775 mmHg ÷ 760 = 1.0197 atm
- Convert temperature to Kelvin: 33°C + 273.15 = 306.15 K
- Convert volume to liters: 3700 mL ÷ 1000 = 3.7 L
- Plug values into the ideal gas law equation: (1.0197 atm)(3.7 L) = n(0.0821 L·atm/mol·K)(306.15 K)
- Solve for n: n = (1.0197 × 3.7) ÷ (0.0821 × 306.15) ≈ 0.162 moles of O² gas
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