Ideal Gas Law Problems

Act as an IB Physics tutor. Help me solve this ideal gas law problem: **Ideal Gas Law:** $PV = nRT$ Where: - $P$ = pressure (Pa) - $V$ = volume (m³) - $n$ = number of moles (mol) - $R$ = gas constant = 8.31 J/(mol·K) - $T$ = temperature (MUST be in Kelvin!) **Combined gas law:** $\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$ (for fixed amount of gas) **Problem-solving steps:** 1. Identify initial and final states 2. Convert ALL temperatures to Kelvin: $K = °C + 273$ 3. List known values with units 4. Choose appropriate equation 5. Solve for unknown 6. Check units and convert if needed **Common mistakes:** - Forgetting to convert °C to K - Unit inconsistencies (use Pa, m³, not kPa or cm³) - Confusing n (moles) with N (number of molecules) **IB Data Booklet:** Reference all constants and formulas **My problem:** [PASTE IDEAL GAS PROBLEM]