Final answer:
The volume of 3.37 moles of an ideal gas at 26.5°C and 1.00 atm pressure is 83.14 liters, calculated using the Ideal Gas Law formula PV = nRT and converting temperature to Kelvin.
Step-by-step explanation:
To calculate the volume of an ideal gas, we use the Ideal Gas Law, which is represented by the formula PV = nRT. Here, P is the pressure, V is the volume, n is the number of moles, R is the Ideal Gas Constant, and T is the temperature in Kelvin.
First, we need to convert the temperature from Celsius to Kelvin:
T = 26.5°C + 273.15 = 299.65 K
Next, use the Ideal Gas Law:
- P = 1.00 atm (given)
- R = 0.08206 L-atm/mol-K (Ideal Gas Constant)
- n = 3.37 moles (given)
Now, solve for V (volume).
V = \(\frac{nRT}{P}\)
V = \(\frac{3.37 moles \times 0.08206 L-atm/mol-K \times 299.65 K}{1.00 atm}\)
V = 83.14 L
The volume of 3.37 moles of an ideal gas at 26.5°C and 1.00 atm is 83.14 liters.