Fysik Opgave 1.7 1.9 1.11


Opgave 1.7

LaTex: \begin{eqnarray} p_1 &=& 101kPa\\ p_2 &=& p_1 + 1 Pa = 101,001 kPa\\ T_1 &=& 20^\circ C = 293,15^\circ K\\ p_2 &=& p_1 \cdot \left( \frac{v_1}{v_2} \right)^\gamma\\ \left( \frac{v_1}{v_2} \right) &=& \sqrt[\gamma]{\frac{p_2}{p_1}}\\ T_2 &=& T_1 \cdot \left( \frac{v_1}{v_2} \right)^{\gamma-1}\\ T_2 &=& T_1 \cdot \left( \sqrt[\gamma]{\frac{p_2}{p_1}} \right)^{\gamma-1} = 293,15083 K\\ T_{amp} &=& T_2 -T_1 = 0,83 mK\\ \end{eqnarray}

Opgave 1.9

Beregnet på baggrund af tal fra Opgave 1.2.

LaTex: \begin{eqnarray} \eta &=& 1-\frac{\sum A_{til}}{\sum Q} = 0,00452 = 0,45\percent\\ \end{eqnarray}

Opgave 1.11

LaTex: \begin{eqnarray} A_{gas} &=& 200 MW\\ A_{gas} &=& n\cdot C_{mP}\cdot (T_4-T_1)\\ n &=& \frac{A_{gas}}{C_{mP}\cdot (T_4-T_1)} =  \frac{mol}{s}\\ \end{eqnarray}