Chapter 42: Q9P (page 1307)

Find the disintegration energy Q for the decay of $^{49} V$ by Kelectron capture (see Problem 54). The needed data are $m_{v} = 48.94852 u, m_{n} = 48.94787 u$ and .

Short Answer

Expert verified

The disintegration energy for the decay of vanadium atom is 600 keV .

Step by step solution

Identification of given data

The mass of the vanadium atom is $m_{v} = 48.94852 u$

The mass of the Titanium atom is $m_{Ti} = 48.94787 u$

The energy for K electron capture is $E_{k} = 5.47 keV$

Concept Introduction

The disintegration energy for an atom is the energy necessary for breaking the nucleus of the atom.

The disintegration energy for the decay of vanadium atom is given as:

$E = (m_{v} - m_{Ti}) c^{2} - E_{k}$ …………………….(1)

Here, is the speed of light.

Determination of disintegration energy for the decay of vanadium atom

Substitute all the values in the above equation (1), and we get.

$E = (48.94852 u - 48.94787 u) c^{2} - 5.47 keV = (0.00065 u) (c^{2}) ((\frac{1}{c^{2}}) (\frac{931.5 \times 10^{3} keV}{u})) - 5.47 keV = 600 keV$

Therefore, the disintegration energy for the decay of vanadium atom is 100 keV.

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Find the disintegration energy Q for the decay of $^{49} V$ by Kelectron capture (see Problem 54). The needed data are $m_{v} = 48.94852 u, m_{n} = 48.94787 u$ and .

Short Answer

Step by step solution

Identification of given data

Concept Introduction

Determination of disintegration energy for the decay of vanadium atom

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Find the disintegration energy Q for the decay of 49Vby Kelectron capture (see Problem 54). The needed data are mv=48.94852u,mn=48.94787uand .

Short Answer

Step by step solution

Identification of given data

Concept Introduction

Determination of disintegration energy for the decay of vanadium atom

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Turning Points in Physics

Thermodynamics

Measurements

Classical Mechanics

Electrostatics

Physics of Motion

Study anywhere. Anytime. Across all devices.

Find the disintegration energy Q for the decay of $^{49} V$ by Kelectron capture (see Problem 54). The needed data are $m_{v} = 48.94852 u, m_{n} = 48.94787 u$ and .