This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
You're on a roll — To find the value of y, we need to convert all the numbers in the equation to base 10. The equation is 101_two + 12_y = 23_five. Step 1: Convert 101_two to base 10. 101_two = (1 × 2^2) + (0 × 2^1) + (1 × 2^0) = (1 × 4) + (0 × 2) + (1 × 1) = 4 + 0 + 1 = 5_ten Step 2: Convert 23_five to base 10. 23_five = (2 × 5^1) + (3 × 5^0) = (2 × 5) + (3 × 1) = 10 + 3 = 13_ten Step 3: Convert 12_y to base 10. 12_y = (1 × y^1) + (2 × y^0) = (1 × y) + (2 × 1) = y + 2_ten Step 4: Substitute the base 10 values into the original equation and solve for y. 5 + (y + 2) = 13 y + 7 = 13 Subtract 7 from both sides: y = 13 - 7 y = 6 The value of y is 6. Comparing this with the given options: A. 8 B. 7 C. 6 D. 5 The correct option is C. The final answer is C. 6. What's next?