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Multiple Choice
What is the total pressure in a 6.00-L flask which contains 0.127 mol of H2(g) and 0.288 mol of N2(g) at 20.0°C, assuming ideal gas behavior?
A
1.02 atm
B
1.56 atm
C
2.10 atm
D
0.85 atm
Verified step by step guidance
1
First, understand that the problem involves calculating the total pressure of a gas mixture using the ideal gas law. The ideal gas law is given by the equation: , where is the pressure, is the volume, is the number of moles, is the ideal gas constant, and is the temperature in Kelvin.
Convert the temperature from Celsius to Kelvin. The conversion formula is: . For 20.0°C, the temperature in Kelvin is .
Calculate the partial pressure of each gas using the ideal gas law. For hydrogen, use with as 0.127 mol, as 0.0821 L·atm/mol·K, as the converted temperature, and as 6.00 L.
Similarly, calculate the partial pressure of nitrogen using the same formula, with as 0.288 mol.
Add the partial pressures of hydrogen and nitrogen to find the total pressure in the flask. This is based on Dalton's Law of Partial Pressures, which states that the total pressure of a gas mixture is the sum of the partial pressures of each individual gas.