In an electrolysis experiment, $0.1575 \mathrm{g}$ of copper is placed on the cathode from a solution of copper sulfate when a current of 0.400 amperes is passed for 1200 s. $(a)$ Calculate the value of the Faraday constant. $(b)$ Given that the charge on an electron is $1.602 \times 10^{-19} \mathrm{C}$, calculate the Avogadro constant. [This experiment is described by C. A. Seiglie, $J$. Chem. Educ. 80: 668 $(2003) .]$