Question

Urgent help

Gas pressure is inversely proportional to volume at constant temperature. What does
this mean?
As one increases, the other will decrease at the same rate. The graph will show a
straight line.
As one increases, the other will increase at the same rate. The graph will show a
straight line.
As one increases, the other will decrease at the same rate. The graph will show
an inverse curve.
As one increases, the other will increase at the same rate. The graph will show a
inverse curve.

Answer 1

Gas pressure being inversely proportional to volume at constant temperature means that when the volume of a gas is decreased, the pressure of the gas will increase proportionally. Similarly, when the volume of the gas is increased, the pressure will decrease proportionally. This relationship is described by Boyle's Law, which states that the product of the pressure and volume of a gas is constant at a given temperature. In other words, if the pressure of a gas is doubled while its temperature remains constant, its volume will be halved, and vice versa.

Answer 2

Gas pressure being inversely proportional to volume means that as the volume of a gas decreases, its pressure increases, and vice versa, at a constant temperature. Thus, As one increases, the other will decrease at the same rate. The graph will show an inverse curve.

Step-by-step explanation:

Gas pressure is inversely proportional to volume at constant temperature, meaning as one increases, the other decreases, but not at the same rate. This relationship between pressure (P) and volume (V) can be represented mathematically as PV = k, where k is a constant. If we plot P versus V, we do not get a straight line but instead a curve known as a hyperbola. Alternatively, if we plot the inverse of volume (1/V) against the pressure or vice versa, we obtain a linear graph which is easier to interpret and use for data analysis.

In a PV diagram, this concept is demonstrated: as volume decreases, the pressure exerted by a gas increases when temperature is kept constant, and the graphed result of this relationship is a hyperbolic curve.