According to Boyle, pressure and volume of a confined gas are ____ proportional, and according to Charles, the volume of a gas at a constant pressure is____ proportional to its Kelvin temperature.
A. directly; inversely
B. directly; not
C. inversely; directly
D. not; inversely
inversly , directly
The answer is A. directly; inversely.
To understand why, let's break down each statement.
According to Boyle's Law, pressure and volume of a confined gas are directly proportional. This means that when the pressure of a gas increases, its volume decreases, and vice versa. In other words, if you were to graph the pressure versus the volume of a gas at a constant temperature, you would get a curve that sloped downwards (inverse relationship).
To determine this relationship, Boyle conducted experiments where he observed the pressure and volume of a gas at different states. By collecting data and plotting it on a graph, he noticed that as the volume of the gas decreased, the pressure increased proportionally. This led him to conclude that pressure and volume are inversely proportional.
Now, let's move on to Charles's Law. According to Charles's Law, the volume of a gas at a constant pressure is directly proportional to its Kelvin temperature. This means that as the temperature of a gas increases, its volume also increases, and vice versa. In other words, if you were to graph the volume versus the temperature of a gas at a constant pressure, you would get a straight line that slopes upwards (direct relationship).
To determine this relationship, Charles also conducted experiments. He observed that when the volume of a gas was measured at different temperatures while keeping the pressure constant, the volume and the temperature showed a linear relationship. As the temperature increased, the volume also increased proportionally. This led him to conclude that volume and temperature are directly proportional.
Therefore, combining Boyle's and Charles's laws, we can state that the pressure and volume of a confined gas are directly proportional, and the volume of a gas at a constant pressure is inversely proportional to its Kelvin temperature. So the answer to your question is A. directly; inversely.