In one of the processes on the production line at a Sugar Mill, a quantity of gas occupying an original volume of \( 1500 \mathrm{dm}^{3} \) and at an original temperature of \( 300^{\circ} \mathrm{C} \) is expanded adiabatically to a temperature and pressure of \( 135^{\circ} \mathrm{C} \) and 200 kPa respectively. After this adiabatic expansion the gas is heated at constant volume until a pressure of 300 kPa is reached. Given: \( \mathrm{R}=0.286 \mathrm{~kJ} \cdot \mathrm{~kg}^{-1} \cdot \mathrm{~K}^{-1} ; \quad \mathrm{C}_{\mathrm{p}}=1.001 \mathrm{~kJ} \cdot \mathrm{~kg}^{-1} \cdot \mathrm{~K}^{-1}, 1 \mathrm{dm}=10^{-1} \mathrm{~m} \) Assist the production supervisor to: 1.1 Draw a fully labelled \( \mathrm{P}-\mathrm{V} \) diagram for this multi-process system. 1.2 Find the mass of the gas and pressure of the gas before the adiabatic expansion process. 1.3 Find the final volume and final temperature after both processes. 1.4 Find the specific work and specific heat transferred after both processes.

4. For vectors \( \vec{A}=120 \hat{i}-60 \hat{j}, \vec{B}=-3 \hat{i}+4 \hat{j} \) and \( C=10 j \) (answer only inside the given boxes. \begin{tabular}{ll|l}\hline i) Find unit vgctor along & \( \vec{B} \quad \) [3pts] & ii) Find unit vector along \( E=\vec{A}+\vec{C}[4 p t s] \)\end{tabular}

Una masa pende de un resorte. El resorte está comprimido y mide 4 cm . Luego se suelta. Se observa que la masa regresa a la posición comprimida después de \( \frac{1}{3} \) de segundo. a) Encuentre una función que modele el desplazamiento de la masa. b) Grafique el desplazamiento de la masa.

La tuta spaziale lunare, usata dagli astronauti nel- la missione Apollo 11 del 1969 , aveva una massa di \( 91,0 \mathrm{~kg} \). Calcola il peso della tuta sulla Terra e sulla Luna \( \left(G_{l}=1,62 \mathrm{~N} / \mathrm{kg}\right) \). Determina quale massa dovrebbe avere la tuta delle future missioni su Marte affinché su Marte abbia lo stesso peso lunare della tuta della missione Apollo 11 \( \left(g_{M}=3,72 \mathrm{~N} / \mathrm{kg}\right) \).

QUESTION 5 A bus accelerates from rest to 0,067 \( 0.04 \mathrm{~km} / \mathrm{h} \) in 17 seconds; it continues with this speed for rest. Plot a velocity time graph for the journey then calculate. 5.1 The total distance covered. 5.2 The average speed for the whole journey

A body is acted upon by three forces \( F_{1}\left(10 \mathrm{~N}, 030^{\circ}\right), F_{2}\left(15 \mathrm{~N}, 120^{\circ}\right) \) and \( F_{3}\left(15 \mathrm{~N}, 240^{\circ}\right) \). Determine the magnitude and direction of the resultant force by