A science educator's lab has two gas tanks. Tank A: 2 atm, 10 L. Tank B: 3 atm, 15 L. If connected, what is the final pressure assuming constant volume?
["How Gas Tank Pressure Changes When Behaving Like a Single Sealed Container: A Science Educator’s Lab Example", "When exploring gas laws in the science classroom, one common experiment involves combining gas volumes under constant conditions. A real-world example from a science educator’s lab features two independent gas tanks—Tank A and Tank B—held at pressure and volume limits, inviting students to investigate how pressure changes when the tanks are connected. This article explains the principles behind the pressure adjustment and walks through the calculation to determine the final pressure.", "---", "### The Setup: Two Gas Tanks in Series", "- Tank A:\n Pressure = 2 atm\n Volume = 10 L\n- Tank B:\n Pressure = 3 atm\n Volume = 15 L", "When connected, the tanks behave as if they form a single sealed, connected system at constant total volume. The total volume becomes:\nV_total = 10 L + 15 L = 25 L", "Despite each tank starting at different pressures, gas molecules redistribute uniformly until equilibrium is reached at constant volume.", "---", "### Applying the Ideal Gas Law & Boyle’s Principle", "According to Boyle’s Law and the ideal gas law, for a fixed mass of gas at constant temperature:", "> Pressure × Volume = Constant", "Since the total volume is now 25 L and the amount of gas unchanged, the final pressure can be found by conserving the combined “pressure-volume product.”", "We use conservation of PV in the combined system:", "[\nP_{\ ext{final}} \ imes V_{\ ext{total}} = (P_A \ imes V_A) + (P_B \ imes V_B)\n]", "Plug in the values:", "[\nP_{\ ext{final}} \ imes 25\ \ ext{L} = (2\ \ ext{atm} \ imes 10\ \ ext{L}) + (3\ \ ext{atm} \ imes 15\ \ ext{L})\n]", "Calculate the right-hand side:", "[\nP_{\ ext{final}} \ imes 25 = (2 \ imes 10) + (3 \ imes 15) = 20 + 45 = 65\ \ ext{atm·L}\n]", "Solve for ( P_{\ ext{final}} ):", "[\nP_{\ ext{final}} = \frac{65\ \ ext{atm·L}}{25\ \ ext{L}} = 2.6\ \ ext{atm}\n]", "---", "### Conclusion", "When two gas tanks with different pressures and volumes are connected in series under constant volume and temperature, the final pressure reaches 2.6 atm. This lab setup effectively demonstrates how pressure and volume interact while keeping volume constant—key concepts in teaching gas laws.", "Incorporating such calculations into science education helps students apply theoretical principles to real-world thermodynamic systems, reinforcing critical thinking and quantitative reasoning skills.", "---", "Keywords: gas laws, pressure calculation, ideal gas constant, Boyle’s law, constant volume, gas training lab, science educator, lab experiment, PV equation, 2.6 atm final pressure, science education, high school physics, chemistry lab, pressure-volume relation."]
