A sealed 26- m³ tank is filled with 2000 moles of oxygen gas (O₂) at an initial temperature of 270 K. The gas is heated to a final temperature of 460 K. The ATOMIC mass of oxygen is 16.0 g/mol, and the ideal gas constant is R = 8.314 J/mol · K = 0.0821 L · atm/mol · K. The final pressure of the gas is closest to A) 0.29 MPa. B) 0.31 MPa. C) 0.33 MPa. D) 0.34 MPa. E) 0.36 MPa.

Question

Quizplus · Accepted Answer

The ideal gas law is PV = nRT, where 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. We can use this equation to find the final pressure of the gas.We know that the initial volume is 26 m^3, the initial number of moles is 2000 moles, the initial temperature is 270 K, and the final temperature is 460 K. We can plug these values into the ideal gas law to find the final pressure:P = nRT/V = (2000 moles)(8.314 J/mol · K)(460 K)/(26 m^3) = 3.14 x 10^5 Pa = 0.314 MPaThe final pressure of the gas is closest to 0.31 MPa, so the correct answer is A.

A Sealed 26- M3 Tank Is Filled with 2000 Moles

A Sealed 26- M³ Tank Is Filled with 2000 Moles