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
Step 1: Convert 2N4_seven to base 10. To convert a number from base b to base 10, we use the formula _i=0^k d_i × b^i, where d_i are the digits and k is the highest power. 2N4_seven = 2 × 7^2 + N × 7^1 + 4 × 7^0 = 2 × 49 + N × 7 + 4 × 1 = 98 + 7N + 4 = 102 + 7N Step 2: Convert 15N_nine to base 10. 15N_nine = 1 × 9^2 + 5 × 9^1 + N × 9^0 = 1 × 81 + 5 × 9 + N × 1 = 81 + 45 + N = 126 + N Step 3: Equate the base 10 expressions and solve for N. Since 2N4_seven = 15N_nine, we set their base 10 equivalents equal: 102 + 7N = 126 + N Subtract N from both sides: 102 + 6N = 126 Subtract 102 from both sides: 6N = 126 - 102 6N = 24 Divide by 6: N = (24)/(6) N = 4 The value of N must be less than the base in which it appears. In base 7, N must be less than 7. In base 9, N must be less than 9. Since N=4, it satisfies both conditions. The value of N is 4. Send me the next one 📸