An organic solvent with a molar mass of 56.45 g/mol have a normal boiling point of 45.0 °C and a normal freezing point of -14.0 ºC. If ΔHº of vaporization is 34.4 kJ/mol, ΔHº of fusion is 1.4 kJ/mol, specific heat capacity of the liquid is 2.88 J/mol.ºC ,specific heat capacity of the solid is 0.765 J/mol.ºC and specific heat capacity of the gas is 1.43 J/mol.ºC. Calculate the amount of heat (in kJ) released when 24.0 g of this solvent is converted from liquid at the normal boiling point to solid at the normal freezing point.
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
An organic solvent with a molar mass of 56.45 g/mol have a normal boiling point of 45.0 °C and a normal freezing point of -14.0 ºC. If ΔHº of vaporization is 34.4 kJ/mol, ΔHº of fusion is 1.4 kJ/mol, specific heat capacity of the liquid is 2.88 J/mol.ºC ,specific heat capacity of the solid is 0.765 J/mol.ºC and specific heat capacity of the gas is 1.43 J/mol.ºC.
Calculate the amount of heat (in kJ) released when 24.0 g of this solvent is converted from liquid at the normal boiling point to solid at the normal freezing point.
According to the question we have,
Mass of liquid is given by = 24.0 g
Specific heat capacity of the liquid= 2.88 J/mol
Normal freezing point temperature ( final temperature)= -14
Normal boiling point temperature ( initial temperature) = 45.0
The enthalpy of the vapourization is given by = 1.4 Kj/mol = 1.4103 J/mol
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