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7. show that the mass number and the number of protons are conserved in…

Question

  1. show that the mass number and the number of protons are conserved in the following nuclear equation:

_{92}^{234}u \to _{90}^{230}th + _{2}^{4}he.

Explanation:

Step1: Calculate mass number on both sides

Mass number of \(^{234}_{92}U\) is \(234\).
Mass number of \(^{230}_{90}Th\) is \(230\) and of \(^{4}_{2}He\) is \(4\).
Sum of mass numbers on right - hand side: \(230 + 4=234\)

Step2: Calculate number of protons on both sides

Number of protons in \(^{234}_{92}U\) is \(92\).
Number of protons in \(^{230}_{90}Th\) is \(90\) and in \(^{4}_{2}He\) is \(2\).
Sum of protons on right - hand side: \(90+2 = 92\)

Answer:

Since the mass number (\(234\)) and the number of protons (\(92\)) are the same on both sides of the nuclear equation \(^{234}_{92}U
ightarrow^{230}_{90}Th + ^{4}_{2}He\), the mass number and the number of protons are conserved.