Consider the following equilibrium system: \[ \mathrm{PCl}_{5}(\mathrm{~g}) \rightleftharpoons \mathrm{PCl}_{3}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g}) \] A 10.00 L evacuated flask is filled with \( \mathbf{0 . 4 4 1 4} \) mol \( \mathrm{PCl}_{5}(\mathrm{~g}) \) at \( \mathbf{2 9 8 . 3} \mathrm{K} \). The temperature is then raised to 503.3 K , where the decomposition of \( \mathrm{PCl}_{5} \) gas takes place to an appreciable extent. When equilibrium is established, the total pressure in the flask is \( \mathbf{2 . 5 9 7} \) atm.

б) \( \sum_{i=1}^{\infty} \frac{1}{i(i+1)} \)

Il perimetro di un trapezio isoscele è 164 cm . Il lato obliquo e la sua proiezione sulla base maggiore misurano rispettivamente 34 cm e 18 cm . Calcola le misure delle basi del trapezio. \( \quad \) [ \( 30 \mathrm{~cm} ; 66 \mathrm{~cm} \) ]

Контрольная работа \( 01 \_1 \quad \) Вариант 01 Вычислить пределы последовательностей \( \lim _{n \rightarrow \infty} \frac{\ln \left(n^{2}-n+1\right)}{\ln \left(n^{10}+n+1\right)} \) \( \lim _{n \rightarrow \infty} \frac{3 \cdot 3^{3 n+1}+3 \cdot 6^{n+1}+4^{n-2}}{8^{n+1}+5 \cdot 3^{2 n+1}} \) \( \lim _{n \rightarrow \infty} \frac{(n+1)(2 n+1)(3 n+1)(4 n+1)(5 n+1)(6 n+1)-n^{4}}{n^{6}-1} \) \( \lim _{n \rightarrow \infty} \sqrt[3]{n^{2}}(\sqrt{n+1}+\sqrt{n-1}-2 \sqrt{n}) \)

What is the absolute value of \( 5 \)?

(45.4 \( \frac{5}{6}-\left(1-\frac{2}{3}\right) \times 2 \)