The graph between (p) and (1/V) in Boyle’s law is a ______.

Correct option is D

The correct answer is (d) Straight line.
According to Boyle’s law, at a constant temperature, the pressure (p) of a given amount of gas is inversely proportional to its volume (V). Mathematically, this can be expressed as:
p ∝ 1/V
This means that if we plot pressure (p) against the inverse of volume (1/V), the result will be a straight line, indicating a linear relationship. This straight line passes through the origin if there are no additional constants involved, showing that pressure and the inverse of volume are directly proportional.
Information Booster: ● Boyle’s law is a fundamental gas law describing the relationship between pressure and volume. ● This law is applicable at constant temperature for a fixed amount of gas. ● The inverse relationship means that as volume decreases, pressure increases, and vice versa. ● The linear graph between pressure and 1/V can be used to confirm Boyle’s law experimentally. ● This law is applicable to ideal gases and helps in understanding real gas behavior under certain conditions.
Additional Knowledge:
· (Option a) Hyperbola: Incorrect; a hyperbolic graph is observed between p and V directly, not between p and 1/V.
· (Option b) Constant: Incorrect; the graph is not a constant but rather a straight line.
· (Option c) Parabola: Incorrect; a parabolic curve does not represent the relationship between p and 1/V in Boyle’s law.
· (Option d) Straight line: Correct; plotting p against 1/V yields a straight line.