(i) Solid $CO_2$ is called dry ice.
(ii) Solid $CO_2$ changes directly into gas at 1 atm pressure.
(iii) Pressure and temperature can change the state of matter.
(iv) Solid $CO_2$ melts into liquid $CO_2$ before becoming gas.
This solution breaks down each statement provided in the question to determine their accuracy regarding solid carbon dioxide ($CO_2$) and the general principles of matter.
This statement is correct. Solid carbon dioxide is commonly known as "dry ice" because it does not melt into a liquid at atmospheric pressure. Instead, it transitions directly from a solid to a gaseous state, appearing dry.
This statement is correct. At standard atmospheric pressure (1 atm), solid $CO_2$ undergoes a process called sublimation. Sublimation is the direct transformation of a substance from the solid to the gas state, bypassing the liquid phase. This is a key characteristic of dry ice under normal conditions.
This statement is correct. Temperature and pressure are the primary factors that determine the state of a substance (solid, liquid, or gas). Increasing temperature typically causes melting or boiling, while increasing pressure can cause condensation or solidification. Conversely, decreasing temperature or pressure can reverse these changes. For example, water freezes into ice at low temperatures and boils into steam at high temperatures, and pressure influences these transition points.
This statement is incorrect. As explained in the analysis of statement (ii), solid $CO_2$ sublimes at 1 atm pressure. It transitions directly from solid to gas without forming a liquid phase. Melting into liquid $CO_2$ only occurs at pressures significantly above 1 atm (specifically, above 5.1 atm, the triple point pressure of $CO_2$).
Based on the analysis, statements (i), (ii), and (iii) are correct, while statement (iv) is incorrect under standard atmospheric pressure.