A sealed 89-m³ tank is filled with 6000 moles of oxygen gas (O₂) at an initial temperature of 270 K. The gas is heated to a final temperature of 350 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 initial pressure of the gas is closest to A) 0.15 MPa. B) 0.17 MPa. C) 0.19 MPa. D) 0.13 MPa. E) 0.11 MPa.

Question

Quizplus · Accepted Answer

Using the ideal gas law, $ PV = nRT $, we can calculate the initial pressure. Given $ n = 6000 $ moles, $ R = 8.314 $ J/mol·K, $ T = 270 $ K, and $ V = 89 $ m³, we find $ P = \frac{nRT}{V} $. Converting the volume to liters (1 m³ = 1000 L), we get $ V = 89000 $ L. Substituting the values, $ P = \frac{6000 \times 8.314 \times 270}{89000} \approx 0.15 $ MPa.

A Sealed 89-M3 Tank Is Filled with 6000 Moles of Oxygen

A Sealed 89-M³ Tank Is Filled with 6000 Moles of Oxygen