Final answer:
To calculate the pressure of the methane gas sample, you can use the van der Waals equation. The equation is P = (RT)/(V - b) - (a*n^2)/(V^2), where P is the pressure, R is the ideal gas constant, T is the temperature, V is the volume, n is the number of moles, a is a constant, and b is another constant.
Step-by-step explanation:
To calculate the pressure (in atm) of a 5.1 mol sample of methane gas at 350.0 K in a 3.25 L container using the van der Waals equation, we can use the formula:
P = (RT)/(V - b) - (a*n^2)/(V^2)
Where P is the pressure, R is the ideal gas constant (0.0821 atm L/mol K), T is the temperature in Kelvin (350.0 K), V is the volume of the container (3.25 L), n is the number of moles of methane gas (5.1 mol), a is the van der Waals constant (2.25 L^2 atm/mol^2), and b is another van der Waals constant (0.0428 L/mol).
Substituting the given values into the equation, we get:
P = (0.0821 * 350.0)/(3.25 - 0.0428) - (2.25 * (5.1^2))/(3.25^2)
Simplifying the equation gives us the final answer for the pressure, which is in atm.