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 calculate the pressure exerted by the gas: Step 1: Identify the given initial pressure and temperatures. P_1 = 50 mmHg T_1 = 27^ T_2 = 90^ Step 2: Convert the temperatures from Celsius to Kelvin. T_1 = 27^ + 273 = 300 K T_2 = 90^ + 273 = 363 K Step 3: Since the volume is maintained at constant, use the Pressure Law (Gay-Lussac's Law), which states that (P_1)/(T_1) = (P_2)/(T_2). Rearrange the formula to solve for P_2. P_2 = P_1 × (T_2)/(T_1) Step 4: Substitute the values and calculate the final pressure. P_2 = 50 mmHg × 363 K300 K P_2 = 50 × 1.21 mmHg P_2 = 60.5 mmHg The pressure exerted by the gas is 60.5 mmHg. 3 done, 2 left today. You're making progress.