91影视

In physics, mass is a 鈥渘umerical representation鈥� of inertia, which is a fundamental feature of all matter. It is in effect with a body's resistance to a change in speed or position caused by the application of a force.

The smaller the change caused by an applied force, the larger the mass of a body.

Using the wavelength, calculate the gamma radiation's energy. The wavelength is 8.73 pm or $8.73脳{10}^{-12}m$.

The formula is,

$$\begin{gathered} E=\frac{hc}{位} \\ =\frac{6.63脳{10}^{-34}J脳s脳3.00脳{10}^8\frac{m}{s}}{8.73脳{10}^{-12}m} \\ =2.28脳{10}^{-14}J \end{gathered}$$

Calculate the mass defect using the equation:

$$\begin{gathered} E=螖m脳c^2 \\ 螖m=\frac{E}{c^2} \\ =\frac{2.28脳{10}^{-14}J}{{\left(3.00脳{10}^8\right)}^2\frac{m^2}{s^2}} \\ =2.532脳{10}^{-31}\frac{kg}{atom} \end{gathered}$$

To get the mass defect per mole, multiply by Avogadro's number.

$$\begin{gathered} 2.532脳{10}^{-31}\frac{kg}{atoms}脳\frac{6.022脳{10}^{23}atoms}{1mol} \\ =1.52脳{10}^{-7}\frac{kg}{mol} \end{gathered}$$

Therefore, the change of mass $1.52脳{10}^{-7}\frac{kg}{mol}$.