Final answer:
To find the number of moles in a gas, we can use the ideal gas law equation: PV = nRT. Plugging in the given values, we find that there are approximately 3.21 moles in 2.00 L of gas at 35.0°C and under 7.41×107 N/m² of pressure.
Step-by-step explanation:
To find the number of moles in a gas, we can use the ideal gas law equation:
PV = nRT
Where:
P is the pressure in N/m²
V is the volume in L
n is the number of moles
R is the ideal gas constant (8.314 J/(mol·K))
T is the temperature in Kelvin
Since we are given the pressure, volume, and temperature, we can rearrange the equation to solve for n:
n = PV / RT
Plugging in the given values:
n = (7.41×107 N/m²) x (2.00 L) / (8.314 J/(mol·K) x (35.0 + 273.15) K)
n ≈ 3.21 moles