## BOYLE’S LAW

According to this law, for a given sample of a gas, the pressure is inversely proportional to its volume at constant Temperature. That is, if we increase the volume then the pressure decreases and vice-versa. This is obvious as on increasing volume the contact area increases and that’s why pressure decreases. The force remains the same as the temperature is constant.(BOYLE’S LAW).**P**ά

**1/V**

**PV = constant**

**P**

_{1}V_{1}= P_{2}V_{2}= P_{3}V_{3}
If the
pressure is doubled, the volume is halved. If the pressure is halved, the volume
is doubled.

The study of graphs plays a vital role in
understand these laws.

The P-V graph is called

*“rectangular hyperbola”*as it represents a standard curve which follows the equation*xy = constant*.
Straight lines are obtained
when the pressure is plotted against 1/V at constant temperature.

**Example-5:**

A 1.00 L sample of gas at 760 torr is compressed
to 0.800 L at constant temperature. Calculate the final pressure of the gas.

**Sol.**P

_{1}V

_{1}= P

_{2}V

_{2}

(760) (1) = P

_{2}(0.8)