A sealed 87- $m ^ { 3 }$ tank is filled with 6000 moles of ideal 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. How much heat is transferred to the gas during this process? (R = 8.31 J/mol ∙ K) A) 24 MJ B) 28 MJ C) 19 MJ D) 14 MJ E) 9.1 MJ

Question

Quizplus · Accepted Answer

The heat transferred to the gas can be calculated using the formula $ Q = nC_v\Delta T $, where $ n $ is the number of moles, $ C_v $ is the molar heat capacity at constant volume for diatomic gases (which is $ \frac{5}{2}R $), and $ \Delta T $ is the change in temperature. Substituting the given values: $ Q = 6000 \times \frac{5}{2} \times 8.31 \times (460 - 270) \approx 24 $ MJ.

A Sealed 87- m3m ^ { 3 }m3 Tank Is Filled with 6000 Moles of Ideal Oxygen Gas

A Sealed 87- $m ^ { 3 }$ Tank Is Filled with 6000 Moles of Ideal Oxygen Gas