Q39E How much Kinetic energy release... [FREE SOLUTION]

Chapter 11: Q39E (page 519)

How much Kinetic energy released and what is the daughter nucleus in the $伪$ decay of polonium- $210$ ?

Short Answer

Expert verified

Kinetic energy release in alpha decay of $p o l o n i u m 鈭� 210$ is $5.41 鈥塎别痴$ , and daughter nucleus is role="math" localid="1658408913570" $L e a d 鈭� 206$ .

Step by step solution

Given data

In alpha decay of $polonium 鈭� 210$ .

$_{84}^{210} Po {鈫�}_{2}^{4} 伪 +_{82}^{206} Pb$

Atomic mass of $_{84}^{210} Po, m_{{Po}_{0}} = 209 .982848 u$ .

Atomic mass of $_{82}^{206} Pb, m_{Pb} = 205.97444 u$ .

Atomic mass of $_{2}^{4} 伪, m_{伪} = 4 .002603 u$ .

Definition of Kinetic Energy

The kinetic energy released is, $Q = (m_{i} 鈭� m_{f}) c^{2}$ .

Where, $m_{i}$ is the mass of parents鈥� nucleus, $m_{f}$ is the mass of the daughter nucleus, and $c$ is the speed of light in vacuum.

Determine the Kinetic Energy released

Kinetic energy release, $Q = (m_{i} 鈭� m_{f}) c^{2}$ .

The conversion factor may be used to express $c^{2} 鈫� MeV / u$ .

$\begin{matrix} Q = (m_{Po} 鈭� m_{Pb} 鈭� m_{伪}) (931 .5 \frac{MeV}{u}) \\ Q = (209 .982848 u 鈭� 205 .97444 u 鈭� 4 .002603 u) (931 .5 \frac{McV}{u}) \\ Q = 5 .41 MeV \end{matrix}$

Kinetic energy release in alpha decay of $polonium 鈭� 210$ is $5.41 鈥塎别痴$ , and daughter nucleus is $Lead 鈭� 206$ .

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91影视

How much Kinetic energy released and what is the daughter nucleus in the $伪$ decay of polonium- $210$ ?

Short Answer

Step by step solution

Given data

Definition of Kinetic Energy

Determine the Kinetic Energy released

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91影视

How much Kinetic energy released and what is the daughter nucleus in the伪decay of polonium-210 ?

Short Answer

Step by step solution

Given data

Definition of Kinetic Energy

Determine the Kinetic Energy released

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Scientific Method Physics

Nuclear Physics

Energy Physics

Oscillations

Quantum Physics

Turning Points in Physics

Study anywhere. Anytime. Across all devices.

How much Kinetic energy released and what is the daughter nucleus in the $伪$ decay of polonium- $210$ ?