Answer to Question #253252 in Physics for Jashwanth

Question

Calculate the Hall coefficient of sodium based on free electron model. Sodium has bcc structure and the side of the cube is 4.28 Å.

2.45 ×10−9 m3 C−1

3.28 ×10−9 m3 C−1

4.50 ×10−9 m3 C−1

1.65 ×10−9 m3 C−1

Answer 1

Find the carrier concentration:

$$n=\frac{N_AZ\rho_m}{m_a}=\frac{(6.022·10^{23})·1·968}{23·10^{-3}}=2.53·10^{28}\text{ m}^{-3}.$$

Hall coefficient:

$$R_H=\frac1{ne}=2.46·10^{-10}\text{ m}^3/\text C.$$