Chapter 30.1, Problem 4PP

To determine

To Explain:

Symbols of three isotopes of hydrogen having neutrons zero, one, and two in the nucleus.

Answer to Problem 4PP

Symbol of isotope of hydrogen with neutron one $=H$ .

Symbol of isotope of hydrogen with neutron two $=H$ .

Symbol of isotope of hydrogen with neutron three $=H$ .

Explanation of Solution

Introduction:

  $H$ is the symbolic format of hydrogen

Where,

  $A$ $:$ Atomic mass number

  $Z$ $:$ Atomic number

The number of protons is equal to the $Z$ .

The number of neutrons is $A-Z$ .

For the isotope of hydrogen have neutron zero, The atomic number of hydrogenis $1$ ,

  $Z=1$

The number of neutrons is given by,

  $A-Z$

Substituting the value in above expression,

Number of neutrons $=A-Z$

  $0=A-1$

Rearranging the above expression to get $\text{A}$ ,

  $\begin{array}{l}A=0+1\\ A=1\end{array}$

Symbol of isotope of hydrogen is written as,

  $A$

Putting the values of $A$ and $Z$ in above symbolic form,

  $H$

For the isotope of hydrogen have neutron one,

  $Z=1$

Number of neutrons $=A-Z$

  $1=A-1$

Rearranging the above expression to get $A$ ,$\begin{array}{l}A=1+1\\ A=2\end{array}$

Symbol of isotope of hydrogen is written as,

  $H$

Putting the values of $\text{A}$ and $\text{Z}$ in above symbolic form,

  $H$

For the isotope of hydrogen have neutron two,

  $Z=1$

Number of neutrons $=A-Z$

  $2=A-1$

Rearranging the above expression to get $\text{A}$ ,$\begin{array}{l}A=1+2\\ A=3\end{array}$

Symbol of isotope of hydrogen is written as,

  $H$

Putting the values of $\text{A}$ and $\text{Z}$ in above symbolic form,

  $H$

Conclusion:

Symbols of three isotopes of hydrogen having neutrons zero, one, and two in the nucleus are $H,H,H$ .