Thermodynamics ...

The molar heat capacities of Iodine vapour and solid are $$7.8$$ and $$14\ cal/mol$$ respective enthalpy of sublimation of iodine is $$6096\ cal/mol$$ at $$200^{\circ}C$$, then what is $$\Delta H$$ the value  at $$250^{\circ}C$$ in cal/mol.

$$100\ ml\ 0.5 N\ H_{2}SO_{4}$$ (strong acid) is neutralised with $$200\ ml\ 0.2\ M\ NH_{4}OH$$ in a constant pressure Calorimeter which results in temperature rise of $$1.4^{\circ}C$$. If heat capacity of Calorimeter content is $$1.5\ kJ/^{\circ}C$$. Which statement is/ are correct:

Fruend and Long were 2 scientists interested in adsorption.
Once in a discussion Fruend asked "I can see adsorption is spontaneous, but why it is always exothermic?"
Long said"_________________"
Choose Long's answer :

For the reaction, $${ C }_{ 3 }{ H }_{ 8 }\left( g \right) +5{ O }_{ 2 }\left( g \right) \longrightarrow 3C{ O }_{ 2 }\left( g \right) +4{ H }_{ 2 }O\left( l \right) $$ at constant temperature, $$\Delta H-\Delta E$$ is:

$$2$$ moles of $$CO$$ and $$1$$ mole of $$O_{2}$$ are taken in a container of volume $$1$$ litre to form $$2$$ moles of $$CO_{2}$$ according to equation

A 10 g piece of iron $$(C=0.45 \,J/g^0 C)$$ at $$100^0 C$$ is dropped in to $$25 g$$ of water $$(C=4.2\,J/g^0 C)$$ at $$ 27^0 C$$ . Find temperature of the iron and water system at thermal equilibrium.

Which statement is correct?

Calculate the hear needed to raise the temperature of $$20g$$ from $${25}^{o}C$$ to $${500}^{o}C$$, if specific heat capacity of iron is $$0.45J{K}^{-1}$$ $${g}^{-1}$$.

A solid material supplied with heat at a constant rate. The temperature of material is changing with heat input as shown in figure. What does slope DE represents?

$$1$$ mole of ice at $$0^{\circ}C$$ and $$4.6$$ mm Hg pressure is converted to water vapour at a constant temperature and pressure. Find $$\Delta H$$ if the latent heat of fusion of ice is $$80$$ Cal/gm and latent heat of vaporization of liquid water at $$0^{\circ}C$$ is $$596$$ Cal per gram and the volume of ice in comparison to that of water (vapour) is neglected.