MCQ
In the relation $n = \frac{{PV}}{{RT}},n = $
- ANumber of molecules
- BAtomic number
- CMass number
- ✓Number of moles
✓
Answer
Correct option: D.
Number of moles
d
$n=\frac{P V}{R T}$
$n=\frac{P V}{R T}$
Writing the units of all the terms of Right Hand Side, in $SI$ units
$n=\frac{(P a) \times\left(m^{3}\right)}{(J / mol / k) \cdot(k)}$
$n=\frac{\left(\frac{N}{m^{2}}\right) \cdot\left(m^{3}\right)}{\left(\frac{J}{\text { mol. K }}\right) \cdot(k .)}$
$n=\frac{\frac{ kgm }{ s ^{2} \cdot m ^{2}} \cdot m ^{3}}{\frac{ kg m ^{2}}{ s ^{2} \cdot mol \cdot K } \cdot K .}$
$n=\operatorname{mol}$. [All other terms cancel out]
Correct choice - option - $D$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
$M$ grams of steam at $100^{\circ} \mathrm{C}$ is mixed with $200\; \mathrm{g}$ of ice at its melting point in a thermally insulated container. If it produces liquid water at $40^{\circ} \mathrm{C}$ [heat of vaporization of water is $540 \;cal/\mathrm{g}$ and heat of fusion of ice is $80 \;\text { cal/g }]$ the value of $\mathrm{M}$ is
→A $43\, m$ long rope of mass $5.0\, kg$ joins two rock climbers. One climber strikes the rope and the second one feels the effect $1.4\, s$ later. What is the tension in the rope .... $N$ ?
→Carnot cycle is plotted in $P-V$ graph. Which portion represents an isothermal expansion?
→On investigation of light from three different stars $A, B$ and $C$ , it was found that in the spectrum of $A$ the intensity of red colour is maximum, in $B$ the intensity of blue colour is maximum and in $C$ the intensity of yellow colour is maximum. From these observations it can be concluded that
→If radius of earth becomes $n$ times its present value, without change in mass, then duration of day becomes
→A body of density $\rho'$ is dropped from rest at a height $h$ into a lake of density $\rho$ , where $\rho > \rho '$ . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface.
→The blocks are given velocity in the direction shown in figure. Co-efficient of friction between two blocks shown in figure is $μ = 0.5$. Take $g = 10\ m/s^2$
→(considering $4\ kg$ block doesn't fall on ground)
Consider the following statements
$(i)$ Time when relative motion between them is stopped is $1.4\ second$.
$(ii)$ Time when relative motion between them is stopped in $1.2\ second$
$(iii)$ The common velocity of the two blocks is $8\ m/s$, towards right.
$(iv)$ The displacement of the $4\, kg$ block when relative motion stopped is$10.8\ m$.
Which of the fstatements is/are correct
In SI system the fundamental units are
Two cars OF SAME LENGTH move in the same direction along parallel roads. One of them is a 100m long travelling with a velocity of 7.5 ms−1. How long will it take for the first car to overtake the second car?
When a long glass capillary tube of radius $0.015\;cm$ is dipped in a liquid, the liquid rises to a height of $15\, cm$ within it. If the contact angle between the liquid and glass to clase to $0^{\circ},$ the surface tension of the liquid, in $milli\,Newton \;m ^{-1}$ is $.....$
→$\left[\rho_{\text {(liquid) }}=900\; kg\,m ^{-3}, g =10\, ms ^{-2}\right]$ (Give answer in closest integer)