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Titanium tetrachloride, TiCl_ $_{4},$ has a melting point of $-23.2^{\circ} \mathrm{C}$ and has a $\Delta H_{\text { fusion }}=9.37 \mathrm{kJ} / \mathrm{mol}$ .(a) How much energy is required to melt 263.1 $\mathrm{g} \mathrm{TiCl}_{4} ?$(b) For TiCl, which will likely have the larger magnitude: $\Delta H_{\text { fusion }}$ or $\Delta H_{\text { vaporization }} ?$ Explain your reasoning.

a) 13.0 $\mathrm{kJ}$b) $\Delta \mathrm{H}_{\text {vaporization }}>\Delta \mathrm{H}_{\text {fusion }}$

02:01

Aadit S.

Chemistry 102

Chapter 10

Liquids and Solids

Liquids

Solids

Rice University

University of Maryland - University College

Brown University

Lectures

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continuing on with phase transitions. First, I'd like to offer some context with this podcast. So just to give us some definitions So the entropy of vaporization is the heat needed by the liquid or solid faith rise in the entropy of fusion. Is the heat required by the solid to combat into a liquid. So the first thing we need to do in this podcast is calculate the malls of T I. C l four, that is 1.385 malls. And so next week and take a look at the energy required to melt one mole, that is 9.37 kg joules per mall. So then we can calculate que fusion. That's the heat 1.385 moles multiplied by 9.37 kg joules per mall. Cute fusion is equal to 13.0 Hillary jewels. And so the energy required to Mt. 263.1 g of T I CFO is starting killer jewels. So in the second part now we have solid T i c l four. The molecules are held together by really, really strong into molecular forces. On when we convert this into a liquid. Some of these into molecular forces need to be broken. And so the energy required for this is called the entropy of fusion. So in liquid T I C. L for the molecules are held together by slightly weaker into molecular forces. As a result, when we compare it to the solid and then to convert this into a gas, we need to break all of the inter molecular forces to gain a vapor. So this is the entropy of vaporization. And so the magnitude of the heat of vaporization will be high because in the case of vaporization into molecular interactions have to be completely broken. Yeah.

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