Answer:
234
Step-by-step explanation:
From the question given above, the following data were obtained:
Alpha particle => ⁴₂He
²³⁸₉₂U —> ? + ⁴₂He
Let the unknown be ⁿₓZ. Thus, the equation becomes
²³⁸₉₂U —> ⁿₓZ + ⁴₂He
Next, we shall determine x, y and Z. This can be obtained as follow:
92 = x + 2
Collect like terms
92 – 2 = x
90 = x
x = 90
238 = n + 4
Collect like terms
238 – 4 = n
234 = n
n = 234
ⁿₓZ => ²³⁴₉₀Z => ²³⁴₉₀Th
Thus the balanced equation
²³⁸₉₂U —> ²³⁴₉₀Th + ⁴₂He
Therefore, the atomic mass of the first element is 234