1. Describe three key relationships exist among the four gas variables -Boyle's, Charles's,and Avogadro's slaws.The Ideal gas law.

## Step 1<br />The problem asks us to describe the relationships among Boyle's Law, Charles's Law, Avogadro's Law, and the Ideal Gas Law. These laws are fundamental principles in the study of gases and are part of the kinetic theory of gases.<br /><br />## Step 2<br />Boyle's Law states that the pressure of a gas is inversely proportional to its volume, provided the temperature and the amount of gas remain constant. This means that if the volume of the gas increases, the pressure decreases, and vice versa.<br /><br />## Step 3<br />Charles's Law states that the volume of a gas is directly proportional to its absolute temperature, provided the pressure and the amount of gas remain constant. This means that if the temperature of the gas increases, the volume also increases, and vice versa.<br /><br />## Step 4<br />Avogadro's Law states that the volume of a gas is directly proportional to the number of moles of gas, provided the pressure and the temperature remain constant. This means that if the number of moles of gas increases, the volume also increases, and vice versa.<br /><br />## Step 5<br />The Ideal Gas Law combines these three laws into one equation: \( PV = nRT \), where \( P \) is the pressure, \( V \) is the volume, \( n \) is the number of moles, \( R \) is the gas constant, and \( T \) is the temperature. This law provides a comprehensive description of the state of an ideal gas.