The problem describes a gas expanding at constant pressure. This indicates that Charles's Law should be used.

Step 1: Identify the given values and the relevant gas law. The problem describes a gas expanding at constant pressure. This indicates that Charles's Law should be used. Charles's Law states that for a fixed amount of gas at constant pressure, the volume is directly proportional to its absolute temperature. The formula for Charles's Law is: (V_1)/(T_1) = (V_2)/(T_2) Where: V_1 = initial volume T_1 = initial absolute temperature V_2 = final volume T_2 = final absolute temperature Given values: Initial volume, V_1 = 3.25 dm^3 Final volume, V_2 = 9.75 dm^3 We need to find the ratio of the final absolute temperature to the initial absolute temperature, which is (T_2)/(T_1). Step 2: Rearrange Charles's Law to solve for the required ratio. From the formula (V_1)/(T_1) = (V_2)/(T_2), we can rearrange it to find (T_2)/(T_1): Multiply both sides by T_2: (V_1 T_2)/(T_1) = V_2 Divide both sides by V_1: (T_2)/(T_1) = (V_2)/(V_1) Step 3: Substitute the given values and calculate the ratio. Substitute the values of V_1 and V_2 into the rearranged formula: (T_2)/(T_1) = 9.75 dm^33.25 dm^3 (T_2)/(T_1) = 3.0 Step 4: Compare the calculated answer with the given options. The calculated ratio is 3.0. The given options are: A) 3.1 B) 5.2 C) 5.4 D) 8.5 The closest option to the calculated value of 3.0 is A) 3.1. The final answer is A) 3.1. Send me the next one 📸