Q$3(18$ points$).$ i$)$ Calculate the volume of carbon dioxide $(C{O}_2)$ that plants need to make ten

gram $(10\mathrm{.}0g)$ of glucose $(C_6{H}_{12}{O}_6)$ via photosynthesis according to the following reaction

equation at $26C$ and $1$atm.$(6P)$

$C{O}_2(g)+H_{2}O(l)longrightarrow{C}_6{H}_{12}{O}_6(s)+O_2(g)$

ii$)$ The mean molar mass of the atmosphere at the surface of Titan, Saturn's largest moon, is

$28\mathrm{.}6\frac{g}{m}ol.$ The surface temperature is $-178\mathrm{.}15C,$ and the pressure is $1\mathrm{.}6$atm. Assuming ideal

gas behaviour, calculate the density of Titan's atmosphere. $(6$ P$)$

iii$)$ Three $1\mathrm{.}0$ L flasks are filled with $H_2,O_2$ and $Ne$ gases, respectively, at standard conditions.

Which of the following statements is TRUE? Explain your answer explicitly, the answers

without explanations will not be graded! $(3$ P$)$

$($a$)$ The density of each gas is the same.

$($b$)$ The velocity of the gas molecules is the same in each flask.

$($c$)$ Each flask has the same number of gas molecules.

$($d$)$ There are twice as many $O_2$ and $H_2$ molecules as $Ne$ atoms.

$($e$)$ None of the above is true.

iv$)$ Which of the following statements is FALSE? Explain vour answer explicitly, the

answers without explanations will not be graded! $(3$ P$)$

$($a$)$ The properties of $N_2(g)$ will deviate more from ideality at $-100C$ than at $100C.$

$($b$)$ Van der Waal's equation corrects for the non$-$ideality of real gases.

$($c$)$ Molecules of $C{H}_4(g)$ at high pressures and low temperatures have no attractive

forces between each other.

$($d$)$ Molecules of an ideal gas are assumed to have no significant volume.

$($e$)$ Real gases do not always obey the ideal gas laws because of the molecular

interactions.