Question

State Boyle's Law Equation.

Answer 1

Boyle's Law:

According to Boyles’s law, at constant temperature, volume of a given mass of gas is directly proportional to the pressure of the gas.

Boyle's law equation can be written mathematically as $\mathrm{P}\propto \frac{1}{\mathrm{V}}$

• $\mathrm{P}=\mathrm{k}\frac{1}{\mathrm{V}}$
• where P= pressure of the gas and V= Volume of the gas at constant temperature.
• Also, on removing the sign of proportionality, a constant of proportionality is introduced
• where k= constant of proportionality
• Therefore, $\mathrm{PV}=\mathrm{k}$
• i.e.; for a given mass of a gas, the product of pressure and volume of the gas is constant at a given temperature.

For a gas at constant temperature and two different conditions, Boyle's law can be written as

• ${\mathrm{P}}_1{\mathrm{V}}_1={\mathrm{P}}_2{\mathrm{V}}_2$

Where ${\mathrm{P}}_1\mathrm{and}{\mathrm{V}}_1$ is the pressure and volume of the gas at initial conditions

${\mathrm{P}}_2\mathrm{and}{\mathrm{V}}_2$ is the pressure and volume of the gas at final conditions