Advertisements
Advertisements
प्रश्न
Derive an Ideal gas equation. Mention the terms involved in it.
उत्तर
According to Boyle’s law,
V ∝ `1/"P"` (at constant T and n) .…(1)
According to Charles’ law,
V ∝ T (at constant P and n) .…(2)
According to Avogadro’s law,
V ∝ n (at constant P and T) .…(3)
Combining relations (1), (2), and (3), we get
V ∝ `("nT")/"P"`
Converting this proportionality into an equation by introducing a constant of proportionality (‘R’ known as gas constant), we get
∴ V = `("nRT")/"P"`
On rearranging the above equation, we get
PV = nRT
where,
P = Pressure of gas,
V = Volume of gas,
n = number of moles of gas,
R = Gas constant,
T = Absolute temperature of gas.
This is the ideal gas equation or equation of state.
APPEARS IN
संबंधित प्रश्न
Select and write the most appropriate alternatives from the given choices.
Which of the following is true for 2 moles of an ideal gas?
Select and write the most appropriate alternatives from the given choices.
Interactive forces are __________ in an ideal gas.
Select and write the most appropriate alternatives from the given choices.
At constant temperature the pressure of 22.4 dm3 volume of an ideal gas was increased from 105 kPa to 210 kPa, New volume could be -
Differentiate between Real gas and Ideal gas.
Write how ideal gas equation is utilised to obtain combined gas law.
Solve the following.
A 20 L container holds 0.650 mol of He gas at 37°C at a pressure of 628.3 bar. What will be new pressure inside the container if the volume is reduced to 12 L. The temperature is increased to 177°C and 1.25 mol of additional He gas was added to it?
The real gas obeys ideal gas laws only at ____________.
Under identical conditions, the pressure of a real gas is ____________.
