This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
You're on a roll — Step 1: Convert temperatures from Celsius to Kelvin. To convert Celsius to Kelvin, add 273.15. T_1 = 65 \, ^ + 273.15 = 338.15 \, K T_2 = 36.9 \, ^ + 273.15 = 310.05 \, K Step 2: Identify the given values. Initial Volume (V_1) = 4.22 \, L Initial Temperature (T_1) = 338.15 \, K Final Temperature (T_2) = 310.05 \, K Final Volume (V_2) = ? Step 3: Apply Charles's Law. Charles's Law states that for a fixed amount of gas at constant pressure, the volume is directly proportional to its absolute temperature: (V_1)/(T_1) = (V_2)/(T_2) To find V_2, rearrange the formula: V_2 = (V_1 T_2)/(T_1) Step 4: Substitute the values and calculate V_2. V_2 = (4.22 \, L) × (310.05 \, K)338.15 \, K V_2 = 1308.411 \, L · K338.15 \, K V_2 ≈ 3.869 \, L The volume of the gas at 36.9 \, ^ will be approximately 3.87 L. What's next?