States of Matter
Practice Questions
MCQ (Single Correct Answer)
1
The rms velocity $\left(u_{\mathrm{rms}}\right)$, mean velocity $\left(u_{\mathrm{av}}\right)$ and most probability ( $u_{\mathrm{mp}}$ ) of a gas differ from each other at a given temperature. Which of the following ratios regarding them is correct?
AP EAPCET 2024 - 23th May Morning Shift
2
$60 \mathrm{~cm}^3$ of $\mathrm{SO}_2$ gas diffused through a porous membrane in ' $x$ ' min. Under similar conditions $360 \mathrm{~cm}^3$ of another gas (molar mass $4 \mathrm{~g} \mathrm{~mol}^{-1}$ ) diffused in ' $y$ ' $\min$. The ratio of $x$ and $y$ is
AP EAPCET 2024 - 23th May Morning Shift
3
A 10 L vessel contains 1 mole of an ideal gas with pressure of $p(\mathrm{~atm})$ and temperature of $T(\mathrm{~K})$. The vessel is divided into two equal parts. The pressure (in atm) and temperature in (K) in each part is respectively.
AP EAPCET 2024 - 23th May Morning Shift
4
At $T(\mathrm{~K})$ for one mole of an ideal gas, the graph of $p$ (on $Y$-axis) and $V^{-1}$ (on $X$-axis) gave a straight line with slope of $32.8 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1}$. What is the temperature (in K$) ?\left(R=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$
AP EAPCET 2024 - 22th May Evening Shift
5
A vessel of volume $V \mathrm{~L}$ contains an ideal gas are $T(\mathrm{~K})$. The vessel is partitioned into two equal parts. The volume (in L ) and temperature (in K ) in each part is respectively.
AP EAPCET 2024 - 22th May Evening Shift
6
At 240.55 K , for one mole of an ideal gas, a graph of $p$ (on $Y$-axis) and $V^{-1}$ (on $X$-axis) gave a straight line passing through origin. Its slope $(m)$ is $2000 \mathrm{~J} \mathrm{~mol}^{-1}$. What is the kinetic energy ( in $\mathrm{J} \mathrm{mol}^{-1}$ ) of ideal gas?
AP EAPCET 2024 - 22th May Morning Shift
7

At STP, a closed vessel contains I mole each of He and $\mathrm{CH}_4$. Through a small hole, 2 L of He and LL of $\mathrm{CH}_4 \mathrm{WHS}$ escaped from vessel in ' $t$ ' minutes. What are the mole fractions of He and $\mathrm{CH}_4$ respectively remaining in the vessel? ( Assume He and $\mathrm{CH}_4$ as ideal gases. At STP one mole of an ideal gas occupies 22.4 L of volume.)

AP EAPCET 2024 - 22th May Morning Shift
8

At $T(\mathrm{~K})$, the $p, V$ and $u_{\mathrm{rms}}$ of 1 mole of an ideal gas were measured. The following graph is obtained. What is it slope ( $m$ )?

( $x$-axis $=p V: y$-axis $u_{\mathrm{rms}}^2, M=$ Molar mass $)$

AP EAPCET 2024 - 21th May Evening Shift Chemistry - States of Matter Question 8 English
AP EAPCET 2024 - 21th May Evening Shift
9
Three layers of liquid are flowing over fixed solid surface as shown below. The correct order of velocity of liquid in these layers is
AP EAPCET 2024 - 21th May Evening Shift
10

The RMS velocity ( $u_{\mathrm{rms}}$ ) of one mole of an ideal gas was measured at different temperatures and the following graph is obtained. What is the slope $(m)$ of straight line ?

$$ \begin{aligned} & \left(X \text {-axis }=T(\mathrm{~K}): Y \text {-axis }=\left(u_{\mathrm{rms}}\right)^2: M=\right.\text { molar mass : } \\ & R=\text { gas constant } \end{aligned} $$

AP EAPCET 2024 - 21th May Morning Shift Chemistry - States of Matter Question 10 English
AP EAPCET 2024 - 21th May Morning Shift
11

Two statements are given below.

Statement I : Viscosity of liquid decreases with increase in temperature.

Statement II : The units of viscosity coefficient are pascal.

The correct answer is

AP EAPCET 2024 - 21th May Morning Shift
12
What is the kinetic energy (in $\mathrm{J} \mathrm{mol}^{-1}$ ) of one mole of an ideal gas (molar mass $=0.1 \mathrm{~kg} \mathrm{~mol}^{-1}$ ) if its rms velocity is $4 \times 10^2 \mathrm{~ms}^{-1}$ at $T(\mathrm{~K})$ ?
AP EAPCET 2024 - 20th May Evening Shift
13

Two statement are given below.

Statement I : The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor.

Statement II : The rms velocity of a gas is directly proportional to square root of $T(\mathrm{~K})$.

The correct answer is

AP EAPCET 2024 - 20th May Morning Shift
14
At 133.33 K . the rms velocity of an ideal gas is $$ \left(M=0.083 \mathrm{~kg} \mathrm{~mol}^{-1} ; R=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) $$
AP EAPCET 2024 - 20th May Morning Shift
15
Identify the correct statements from the following I. For an ideal gas, the compressibility factor is 1.0 II. The kinetic energy of $\mathrm{NO}(g)$ (molar mass $=30 \mathrm{~g} \mathrm{~mol}^{-1}$ ) at $T(\mathrm{~K})$ is $x \mathrm{~J} \mathrm{~mol}^{-1}$. The kinetic energy of $\mathrm{N}_2 \mathrm{O}_4(g)\left(\right.$ molar mass $\left.=92 \mathrm{~g} \mathrm{~mol}^{-1}\right)$ at $T(\mathrm{~K})$ is $2 x \mathrm{~J} \mathrm{~mol}^{-1}$ III. The rate of diffusion of a gas is inversely proportional to square root of its density.
AP EAPCET 2024 - 19th May Evening Shift
16
The following graph is obtained for a gas at different temperatures $\left(T_1, T_2, T_3\right)$. What is the correct order of temperature? $(x$-axis $=$ velocity, $y$-axis $=$ number of molecules) AP EAPCET 2024 - 19th May Evening Shift Chemistry - States of Matter Question 17 English
AP EAPCET 2024 - 19th May Evening Shift
17
RMS velocity of one mole of an ideal gas was measen at different temperatures. A graph of $\left(\mu_{\mathrm{ma}}\right)^{-2}$ (on $Y$-sdi) and $T(\mathrm{~K})$ ( on $X$-axis) gave straight line passing through the origin and its slope is $249 \mathrm{~m}^2 \mathrm{~s}^{-2} \mathrm{~K}^{-1}$. What is the molar mass ( in kg mol${ }^{-1}$ ) of ideal gas? $ \left(R=83 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) $
AP EAPCET 2024 - 18th May Morning Shift
18

Given below are two statements.

Statement I : Viscosity of liquid decreases with increase in temperature.

Statement II : The units of viscosity are $\mathrm{kg} \mathrm{m}^{-1} \mathrm{~s}^{-1}$.

The correct answer is

AP EAPCET 2024 - 18th May Morning Shift
19

Identify the correct variation of pressure and volume of a real gas $$(A)$$ and an ideal gas ($$B$$) at constant temperature. $$(y=p ; x=V)$$

AP EAPCET 2022 - 5th July Morning Shift
20

The gaseous mixture used for welding of metals is

AP EAPCET 2022 - 5th July Morning Shift
21

Among the gases a, b, c , d, e and f, the gases that show only positive deviation from ideal behaviour at all pressures in the graph are

AP EAPCET 2022 - 4th July Morning Shift Chemistry - States of Matter Question 21 English

AP EAPCET 2022 - 4th July Morning Shift
22

Which among the following statements is/are incorrect regarding real gases?

(i) Their compressibility factor is never equal to unity (Z $$\ne$$ 1).

(ii) The deviations from ideal behaviour are less at low pressures and high temperatures.

(iii) Intermolecular forces among gas molecules are equal to zero.

(iv) They obey van der Waals’ equation, $$pV = nRT$$

AP EAPCET 2021 - 20th August Morning Shift
23

Among the following the maximum deviation from ideal gas behaviour is expected from

AP EAPCET 2021 - 19th August Evening Shift
24

Which of the following graphs correctly represents Boyle’s Law?

AP EAPCET 2021 - 19th August Morning Shift Chemistry - States of Matter Question 24 English

AP EAPCET 2021 - 19th August Morning Shift
25

The density of an ideal gas can be given by ........, where p, V, M, T and R respectively denote pressure, volume, molar-mass, temperature and universal gas constant.

AP EAPCET 2021 - 19th August Morning Shift