Gaseous State | Ideal Gas Equation#
Ideal Gas Equation#
- By Boyle's Law, we know that for a given mass of a gas, pressure is inversely proportional to volume at constant temperature.
- By Charle's Law, we know that for a given mass of a gas, volume occupied by the gas is directly proportional to temperature at constant pressure.
- By Gay Lussac's Law, we know that for a given mass of a gas, pressure is directly proportional to temperature at constant volume.
- By Avogadro's Law, we know that volume occupied by a gas is directly proportional to its moles at constant temperature and pressure.
- Combining all above four equations, we obtain the ideal gas equation:
Here, R = Universal Gas Constant
Values of R in different units
- Note that \(1\ calorie = 4.184\ J\)
Questions#
An ideal gas at 300 K is kept in an open container of volume 5 L. When temperature is raised to 500 K keeping pressure constant, calculate the percentage of moles of gas molecules escaped.
Here, PV = constant because P and V both are constants.
Let initial and final moles be ni and nf respectively and let initial and final temperatures be Ti and Tf.
Percentage of moles of gas escaped:
A water bubble on the surface has volume = 4V. When it reaches at a depth of 'h', its volume becomes V. If 10 m water = 1 atm, calculate the value of 'h'.
Let initial pressure be \(P_1\), final pressure be \(P_2\), initial volume be \(V_1\) and final volume be \(V_2\).
Find the common pressure when the stop cork is removed. The scenario is shown below:
Let the common pressure attained when the stop cork is removed be P.