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
To find the volume of the gas at Standard Temperature and Pressure (STP), we will use the Combined Gas Law. STP is defined as 0^ (273 K) and 1 atm. Step 1: List the initial conditions (P_1, V_1, T_1). • Initial volume (V_1) = 146 cm^3 • Initial temperature (T_1) = 18^ • Initial pressure (P_1) = 0.971 atm Step 2: Convert the initial temperature to Kelvin. T_1 = 18^ + 273.15 = 291.15 K Step 3: List the final conditions at STP (P_2, T_2). • Standard temperature (T_2) = 0^ = 273.15 K • Standard pressure (P_2) = 1 atm • Final volume (V_2) = ? Step 4: Apply the Combined Gas Law. The Combined Gas Law states: (P_1V_1)/(T_1) = (P_2V_2)/(T_2) Rearrange the formula to solve for V_2: V_2 = (P_1V_1T_2)/(P_2T_1) Step 5: Substitute the values and calculate V_2. V_2 = (0.971 atm) × (146 cm^3) × (273.15 K)(1 atm) × (291.15 K) V_2 = 38758.9999 cm^3291.15 V_2 ≈ 133.12 cm^3 Rounding to three significant figures: V_2 ≈ 133 cm^3 The volume of the gas at STP is: 133 cm^3 Got more? Send 'em.