At 100$^\circ$C and 1 atm. if the density of liquid water is 1.0 g $cm^{-3}$ and that of water vapour is 0.0006 g $cm^{-3}$, then the volume occupied by water molecules in 1 litre of steam at that temperature
- 6$cm^3$
- 60 $cm^3$
- 0.6 $cm^3$
- 0.06 $cm^3$
The Correct Option is C
Solution and Explanation
Mass = Density $\times$ volume
= (0.0006 g $cm^{-3}) \times$ (1000 $cm^3$)
= 0.6 g
18 g of water = 18 $cm^3$
$\therefore$ 0.6 g of water = 0.6 $cm^3$
$\therefore$ 0.6 g of water = 0.6 $cm^3$
Actual volume occupied by molecules = 0.6 $cm^3$
Top Questions on States of matter
- What is the molar mass of a gas, if 2.5 g of the gas occupies 1.12 L at STP?
- MHT CET - 2025
- Chemistry
- States of matter
- At T(K), a gaseous mixture contains H\(_2\) and O\(_2\). The total pressure of the mixture is 2 bar. The weight percentage (w/w) of H\(_2\) is 33.33%. What is the approximate ratio of partial pressure of H\(_2\) and O\(_2\)?
- AP EAPCET - 2025
- Chemistry
- States of matter
- Consider the following:
Statement I: Real gases exhibit ideal behaviour at high pressures and low temperatures.
Statement II: At high pressure, all gases have compressibility factor (Z) either as 1 or< 1.- AP EAPCET - 2025
- Chemistry
- States of matter
- At 27 °C, rms velocity of SO$_2$ is x ms$^{-1}$ and most probable velocity of O$_2$ at 127 °C is y ms$^{-1}$. The value of x : y is
- AP EAPCET - 2025
- Chemistry
- States of matter
- At the same pressure, the volume occupied by $ 5.6 \, \text{g} $ of gas "A" at $ 610 \, \text{K} $ is the same as $ 1 \, \text{g} $ of $ \text{H}_2 $ at $ 243.9 \, \text{K} $. What is the molar mass (in $ \text{g mol}^{-1} $) of "A"? (Assume that gas "A" and $ \text{H}_2 $ are ideal gases) ($ M_{\text{H}_2} = 2 \, \text{u} $)
- AP EAPCET - 2025
- Chemistry
- States of matter
Questions Asked in JEE Advanced exam
A temperature difference can generate e.m.f. in some materials. Let $ S $ be the e.m.f. produced per unit temperature difference between the ends of a wire, $ \sigma $ the electrical conductivity and $ \kappa $ the thermal conductivity of the material of the wire. Taking $ M, L, T, I $ and $ K $ as dimensions of mass, length, time, current and temperature, respectively, the dimensional formula of the quantity $ Z = \frac{S^2 \sigma}{\kappa} $ is:
- JEE Advanced - 2025
- Dimensional Analysis
- Let $$ \alpha = \frac{1}{\sin 60^\circ \sin 61^\circ} + \frac{1}{\sin 62^\circ \sin 63^\circ} + \cdots + \frac{1}{\sin 118^\circ \sin 119^\circ}. $$ Then the value of $$ \left( \frac{\csc 1^\circ}{\alpha} \right)^2 $$ is \rule{1cm}{0.15mm}.
- JEE Advanced - 2025
- Some Applications of Trigonometry
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
- JEE Advanced - 2025
- binomial expansion formula
- Consider the vectors $$ \vec{x} = \hat{i} + 2\hat{j} + 3\hat{k},\quad \vec{y} = 2\hat{i} + 3\hat{j} + \hat{k},\quad \vec{z} = 3\hat{i} + \hat{j} + 2\hat{k}. $$ For two distinct positive real numbers $ \alpha $ and $ \beta $, define $$ \vec{X} = \alpha \vec{x} + \beta \vec{y} - \vec{z},\quad \vec{Y} = \alpha \vec{y} + \beta \vec{z} - \vec{x},\quad \vec{Z} = \alpha \vec{z} + \beta \vec{x} - \vec{y}. $$ If the vectors $ \vec{X}, \vec{Y}, \vec{Z} $ lie in a plane, then the value of $ \alpha + \beta - 3 $ is ________.
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.
- JEE Advanced - 2025
- Differential equations
Concepts Used:
States of Matter
The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.
There are three States of Matter:
The three states of matter are as follows:
Solid State:
- The solid-state is one of the fundamental states of matter.
- Solids differ from liquids and gases by the characteristic of rigidity.
- The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.
Liquid State:
- The molecules in a liquid are closely packed due to weak intermolecular forces.
- These forces are weaker than solids but stronger than that of gases.
- There is much space in between the molecules of liquids which makes their flowing ability easy.
Gaseous State:
- In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10-7-10-5 cm.
- The intermolecular forces experienced between them are negligible.
- Thus, translatory, rotatory and vibratory motions are observed prominently in gases.