A 5.0 L container initially contains 2.0 moles of nitrogen gas (N2) and 3.0 moles of hydrogen gas (H2). If they react to form ammonia (NH3), calculate the final pressure in the container at a constant temperature.
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To calculate the final pressure in the container, we need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
Since the temperature is constant and the volume is also constant (5.0 L), we can combine these values into a constant k.
k = nR
For nitrogen gas (N2):
n = 2.0 moles
For hydrogen gas (H2):
n = 3.0 moles
Total number of moles (NH3):
n = 2 + 3 = 5.0 moles
Thus, the total pressure can be calculated as:
P = (5.0 moles) * (k) / (5.0 L) = k
So, the final pressure in the container will be equal to k.
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