Answer
The Boyle's gas law defines the relationship between pressure and volume. According to this, the volume of gas is inversely proportional to its pressure at constant temperature.
PV= constant.
Therefore as the volume of a gas increases the pressure of the gas decreases and as the volume of a gas decreases the pressure of the gas increases.
The Charle's gas law defines the relationship between temperature and volume. According to this, the volume of gas is directly proportional to its temperature at a constant pressure.
$\frac{V}{T}$ = constant
Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases.
Combining these equations gives us the equations that show that volume is directly proportional to its temperature and inversely proportional to its pressure.
$\frac{PV}{T}$ = constant
For two different gases, the equation becomes
$\frac{P_{1}V_{1}}{T_{1}}$ = $\frac{P_{2}V_{2}}{T_{2}}$
Work Step by Step
The Boyle's gas law defines the relationship between pressure and volume. According to this, the volume of gas is inversely proportional to its pressure at constant temperature.
PV= constant.
Therefore as the volume of a gas increases the pressure of the gas decreases and as the volume of a gas decreases the pressure of the gas increases.
The Charle's gas law defines the relationship between temperature and volume. According to this, the volume of gas is directly proportional to its temperature at a constant pressure.
$\frac{V}{T}$ = constant
Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases.
Combining these equations gives us the equations that show that volume is directly proportional to its temperature and inversely proportional to its pressure.
$\frac{PV}{T}$ = constant
For two different gases, the equation becomes
$\frac{P_{1}V_{1}}{T_{1}}$ = $\frac{P_{2}V_{2}}{T_{2}}$
