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 — let's solve this radioactive decay problem. The formula for radioactive decay is: N = N_0 ( (1)/(2) )^n where: • N is the remaining mass of the radioactive material • N_0 is the initial mass of the radioactive material • n is the number of half-lives that have passed Step 1: Identify the given values. Initial mass (N_0) = 320 g Half-life (T_1/2) = 2 minutes Total time (t) = 10 minutes Step 2: Calculate the number of half-lives (n). n = Total timeHalf-life n = 10 minutes2 minutes n = 5 Step 3: Substitute the values into the decay formula. N = 320 g ( (1)/(2) )^5 Step 4: Calculate the value of ( (1)/(2) )^5. ( (1)/(2) )^5 = (1^5)/(2^5) = (1)/(32) Step 5: Calculate the remaining mass (N). N = 320 g × (1)/(32) N = (320)/(32) g N = 10 g The mass remaining after 10 minutes is 10 g. The final answer is a. 10g. Send me the next one 📸