11. If 238U92 emits successively four alpha particles two beta particles, what will be the atomic number and mass number of the final product.

Wow -- All these posts in under 10 minutes, and not a thought of your own included.

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the atomic mass will be 224 and atomic nu will be 86

To determine the atomic number and mass number of the final product, we need to understand the process of alpha and beta decay.

Alpha decay occurs when an unstable atomic nucleus emits an alpha particle, which consists of two protons and two neutrons, resulting in a decrease of two in the atomic number and four in the mass number.

Beta decay, on the other hand, involves the emission of beta particles, which are either electrons (β-) or positrons (β+). In β- decay, a neutron in the nucleus is converted into a proton, which increases the atomic number by one. In β+ decay, a proton is converted into a neutron, decreasing the atomic number by one.

Let's analyze the given information step by step:

Starting with 238U92 (uranium-238), we know that the atomic number is 92, and the mass number is 238.

The given information states that four alpha particles (2 protons + 2 neutrons each) and two beta particles will be emitted.

1st alpha decay:
Atomic number decreases by 2: 92 - 2 = 90
Mass number decreases by 4: 238 - 4 = 234
The resulting product is 234Th90 (thorium-234).

2nd alpha decay:
Atomic number decreases by 2: 90 - 2 = 88
Mass number decreases by 4: 234 - 4 = 230
The resulting product is 230Ra88 (radium-230).

3rd alpha decay:
Atomic number decreases by 2: 88 - 2 = 86
Mass number decreases by 4: 230 - 4 = 226
The resulting product is 226Rn86 (radon-226).

4th alpha decay:
Atomic number decreases by 2: 86 - 2 = 84
Mass number decreases by 4: 226 - 4 = 222
The resulting product is 222Po84 (polonium-222).

Now, let's consider the two beta particles.

1st beta decay:
Atomic number increases by 1: 84 + 1 = 85
Mass number remains the same: 222

2nd beta decay:
Atomic number increases by 1: 85 + 1 = 86
Mass number remains the same: 222

Therefore, the final product will have an atomic number of 86 and a mass number of 222.