Which of these statements describes this mathematical equation? (P_(1)V_(1))/(T_(1))=k The final pressure of a gas is directly proportional to volume and temperature change. The final pressure of a gas is inversely proportional to the volume change and directly proportional to temperature change. The final pressure of a gas is directly proportional to volume change and inversely proportional to temperature change. none of the above

The given equation is a form of the ideal gas law, where , , and are the initial pressure, volume, and temperature of a gas, respectively, and is a constant. This equation implies that for a given amount of gas, the ratio of the product of pressure and volume to the temperature remains constant.To analyze the statements:1. "The final pressure of a gas is directly proportional to volume and temperature change." - This statement is incorrect because it suggests direct proportionality to both volume and temperature, which does not align with the equation.2. "The final pressure of a gas is inversely proportional to the volume change and directly proportional to temperature change." - This statement is also incorrect because it misrepresents the relationships described by the equation.3. "The final pressure of a gas is directly proportional to volume change and inversely proportional to temperature change." - This statement is incorrect as well because it does not accurately describe the relationship in the equation.4. "None of the above." - This is the correct choice since none of the provided statements accurately describe the relationship expressed by the equation .Therefore, the correct answer is: **none of the above**.