Identify the correct equation relating $\Delta H$,$\Delta U$,and $\Delta T$ for $1 \text{ mole}$ of an ideal gas from the following $(R = \text{gas constant})$:

Fill in the blanks given below:
$(i)$ $A$ system in which the exchange of energy between the system and the surroundings is possible but the exchange of matter is not possible is called a .......
$(ii)$ The total amount of energy, which is the sum of the internal energy of the substance and the product of its pressure and volume, is called .......
$(iii)$ The change in energy that occurs when a chemical reaction is carried out at constant pressure is called .......
$(iv)$ The process of attaining thermal equilibrium between any two heat-conducting substances is known as the ....... law of thermodynamics.

Fill in the blanks:
$(i)$ The change in heat energy during a chemical reaction at constant volume is called .......
$(ii)$ During a ....... process,there is no absorption or evolution of heat.
$(iii)$ The equation $\Delta G = \Delta H - T \Delta S$ was proposed by .......

Which of the following is true for an adiabatic process?

If the work done by $2 \ mol$ of an ideal gas during isothermal reversible expansion from $5 \ L$ to $50 \ L$ is $-189.1 \ L \ atm$,the temperature of the gas (in $^{\circ}C$) is

When a solvent is added to a solution,the heat of the solution $...$.