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Ideal Gas Equation MCQ - Practice Questions with Answers
Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET
Quick Facts
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Ideal gas equation is considered one of the most asked concept.
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53 Questions around this concept.
Solve by difficulty
Which of the following shows the correct relationship between the pressure ‘P’ and density ρ of an ideal gas at constant temperature?
‘n’ moles of an ideal gas undergoes a process A→B as shown in the figure. The maximum temperature of the gas during the process will be :
A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?
A cylinder contains hydrogen gas at a pressure of 249 kPa and temperature 27oC.
Its density is:
Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is:
Two vessels separately contain two ideal gases A and B at the same temperature; the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is:
In the given (V - T) diagram, what is the relation between pressures P1 and P2?
Directions: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'D' can be represented by 02, 10, etc., and 'R' can be represented by 55, 67, etc. Similarly, you have to identify the set for the word.
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Concepts Covered - 1
Ideal gas equation
- Ideal gas equation-
The equation which relates the pressure (P), volume (V), and temperature (T) of the given state of an ideal gas is known as an ideal gas equation or equation of state.
From Boyle's law, we get $V \propto \frac{1}{P}$
and From Charle's Law, we get $V \propto T$.
And from Avogadro's Law, we get $V \propto n$
And from equation (1), (2), (3)
we can write
$$
\begin{aligned}
& V \propto \frac{n T}{P} \\
& \text { or } \frac{P V}{n T}=\text { constant } \\
& \text { or } \left.\frac{P V}{n T}=R \text { (where } R \text { is proportionality constant }\right) \\
& \text { or } P V=n R T
\end{aligned}
$$
So Ideal Gas Equation is given as
$$
P V=n R T
$$
where,
T= Temperature
P= pressure of ideal gas
V= volume
n= numbers of mole
R = universal gas constant
- Universal gas constant (R)-
At S.T.P. the value of the universal gas constant is the same for all gases.
And its value is given as
$
R=8.31 \frac{\text { Joule }}{\text { mole } \times \text { Kelvin }}=2 \frac{\mathrm{cal}}{\text { mole } \times \text { Kelvin }}
$
And its Dimension is : $\left[M L^2 T^{-2} \theta^{-1}\right]$
- Boltzman's constant (k)-
It is represented by the per mole gas constant.
i.e $k=\frac{R}{N}=\frac{8.31}{6.023 \times 10^{23}}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K}$
- Specific gas constant (r)-
It is represented by the per-gram gas constant.
i.e. $\quad r=\frac{R}{M}$
It's unit is $\frac{\text { Joule }}{g m \times \text { kelvin }}$
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