Question

Which of the following graphs is true for the given mass of a gas at constant temperature?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Explanation for the correct option:

Boyles's Law: At constant temperature, for a given mass of a gas, Pressure (P) is inversely proportional to (V).

Mathematically, $P\propto \frac{1}{V}$ or $V\propto \frac{1}{P}$

$V=\frac{k}{P}orPV=k$ where k= constant of proportionality

This graph depicts the correct relation of PV vs P. This indicates that the product of Pressure and Volume is always constant.

• Pressure changes with change in volume and vice-versa but the product of the two remains constant with change in pressure or volume. This is shown as a straight line which is not changing its value or is constant with the change in pressure or volume i.e.; PV= k (constant of proportionality)

Explanation for the incorrect option:

In all of the incorrect options, the value of PV is changing with change in pressure along the y axis.

Hence, option (b) is correct.