Which of the following is the correct statements?

A. The solubility of gases in liquids increases with a decrease of pressure.

B. If the dissolution process is endothermic, the solubility should increase with rise in temperature.

C. If the dissolution process is endothermic, the solubility should decrease with rise in temperature. 

D. If the dissolution process is exothermic, the solubility will not change with a increase in temperature.

E. If the dissolution process is exothermic, the solubility should increase with an increase in temperature.

Choose the correct answer from the options given below:

B only

The correct answer is option 1. B only.

Here is the breakdown of each statement:

A. The solubility of gases in liquids increases with a decrease of pressure: The statement is incorrect. The solubility of gases in liquids increases with an increase in pressure. According to Henry's Law, the amount of gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the liquid. Higher pressure forces more gas molecules into the liquid.

B. If the dissolution process is endothermic, the solubility should increase with rise in temperature: The statement is correct. If the dissolution process is endothermic (absorbs heat), then adding heat (increasing temperature) will favor the forward reaction (more dissolving) according to Le Chatelier's principle. This leads to increased solubility with higher temperature.

C. If the dissolution process is endothermic, the solubility should decrease with rise in temperature: The statement is incorrect (opposite of B): As explained above, for an endothermic process, solubility increases with temperature.

D. If the dissolution process is exothermic, the solubility will not change with a increase in temperature: The statement is incorrect. Regardless of whether the process is exothermic or endothermic, solubility can change with temperature. Exothermic processes (releasing heat) might have a different relationship between temperature and solubility, but it won't be constant.

E. If the dissolution process is exothermic, the solubility should increase with an increase in temperature: This statement is incorrect. In an exothermic dissolution process, where heat is released when the solute dissolves in the solvent, increasing the temperature generally decreases the solubility of the solute. This is because, according to Le Chatelier's principle, when the temperature increases, the equilibrium shifts away from the exothermic direction to counteract the temperature rise. As a result, less solute will dissolve, leading to a decrease in solubility with increasing temperature.

In conclusion, only statement B accurately describes the relationship between solubility and temperature for an endothermic dissolution process.