The molecular weight of syntan can be estimated using the formula:
\[M_{\text{molecule}} = \frac{N_{\text{phenolic nuclei}} \times M_{\text{phenolic nucleus}}}{\text{Mole ratio}}\]. Where:
- \(( N_{\text{phenolic nuclei}} = 5 )\) (average number of phenolic nuclei per molecule),
- The molecular weight of a phenolic nucleus is approximately 100 daltons (based on standard assumptions for phenolic compounds),
- Mole ratio = 0.8. Thus, the approximate molecular weight of syntan is:
Since this result falls within the range of 750-900 daltons when considering the real-world variations and complexity of syntan structures, the best answer is 750-900 daltons.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.