Question:
At identical temperature and pressure, the rate of diffusion of hydrogen gas is $3\sqrt{3}$ times that of a hydrocarbon having molecular formula $C_{n}H_{2n-2}$. What is the value of $'n'$ ?
At identical temperature and pressure, the rate of diffusion of hydrogen gas is $3\sqrt{3}$ times that of a hydrocarbon having molecular formula $C_{n}H_{2n-2}$. What is the value of $'n'$ ?
Updated On: Nov 29, 2022
- 1
- 4
- 3
- 8
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
$\frac{r_{ H _{2}}}{r_{ C _{n} H _{2 n-2}}}=\sqrt{\frac{{M}_{ C _{n} H _{2 n-2}}}{M_{ H _{2}}}}$
$=\sqrt{\frac{M_{ C _{n} H _{2 n-2}}}{2}}$
$\because \sqrt{\frac{M_{ C _{n} H _{2 n-2}}}{2}}=3 \sqrt{3}=\sqrt{27}$
$\Rightarrow M_{C_{n} H_{2 n-2}}=27 \times 2=54$
Hence, $12 n+(2 n-2) \times 1=54$
$\Rightarrow 14 n=56 $
$\Rightarrow n=4$
Thus, hydrocarbon is $C _{4} H _{6}$.
$=\sqrt{\frac{M_{ C _{n} H _{2 n-2}}}{2}}$
$\because \sqrt{\frac{M_{ C _{n} H _{2 n-2}}}{2}}=3 \sqrt{3}=\sqrt{27}$
$\Rightarrow M_{C_{n} H_{2 n-2}}=27 \times 2=54$
Hence, $12 n+(2 n-2) \times 1=54$
$\Rightarrow 14 n=56 $
$\Rightarrow n=4$
Thus, hydrocarbon is $C _{4} H _{6}$.
Was this answer helpful?
1
0
Top Questions on States of matter
- Which of the following gases has the highest density at STP?
- VITEEE - 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
- The slope of isobar of one mole of an ideal gas at p (atm) is 0.082 L K$^{-1}$. What is the value of p in atm? (R=0.082 L atm mol$^{-1}$K$^{-1}$)
- TS EAMCET - 2025
- Chemistry
- States of matter
- Isotherms ($p$-$V$ lines) of one mole of an ideal gas at $T_1$ and $T_2$ have slope ratio 1:2. If $T_1=1000$ K, find $T_2$.
- TS EAMCET - 2025
- Chemistry
- States of matter
- At T(K) root mean square (rms) velocity of argon (molar mass 40 g mol⁻¹) is 20 ms⁻¹. The average kinetic energy of the same gas at T(K) (in J mol⁻¹) is
- TS EAMCET - 2025
- Chemistry
- States of matter
View More Questions
Questions Asked in WBJEE exam
- The minimum force required to start pushing a body up a rough (having coefficient of friction \( \mu \)) inclined plane is \( F_1 \), while the minimum force needed to prevent it from sliding is \( F_2 \). If the inclined plane makes an angle \( \theta \) with the horizontal such that \( \tan\theta = 2\mu \), then the ratio \( \frac{F_1}{F_2} \) is:
- WBJEE - 2025
- Friction
- The variation of displacement with time of a simple harmonic motion (SHM) for a particle of mass \( m \) is represented by: \[ y = 2 \sin \left( \frac{\pi}{2} + \phi \right) \, \text{cm} \] The maximum acceleration of the particle is:
- WBJEE - 2025
- simple harmonic motion
- Consider a particle of mass 1 gm and charge 1.0 Coulomb at rest. Now, the particle is subjected to an electric field \( E(t) = E_0 \sin(\omega t) \) in the x-direction, where \( E_0 = 2 \, \text{N/C} \) and \( \omega = 1000 \, \text{rad/sec} \). The maximum speed attained by the particle is:
- WBJEE - 2025
- Electric Field
- The equation of a stationary wave along a stretched string is given by \[ y = 5 \sin \left( \frac{\pi x}{3} \right) \cos (40 \pi t) \] Additional Information Here, \(x\) and \(y\) are in cm and \(t\) in seconds. The separation between two adjacent nodes is:
- Ruma reached the metro station and found that the escalator was not working. She walked up the stationary escalator with velocity \( v_1 \) in time \( t_1 \). On another day, if she remains stationary on the escalator moving with velocity \( v_2 \), the escalator takes her up in time \( t_2 \). The time taken by her to walk up with velocity \( v_1 \) on the moving escalator will be:
- WBJEE - 2025
- Relative Motion
View More Questions
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.