MCQ
At $NTP$ the mass of one litre of air is $1.293\, gm.$ The value of specific gas constant will be ...... $J/K-gm$
  • $0.29$
  • B
    $4.2$
  • C
    $8.3$
  • D
    $16.5$

Answer

Correct option: A.
$0.29$
a
The conditions given are in $NTP$.

At $NTP$,

Pressure, $P=1 \; atm =101325 Pa$

Temperature, $T=20^{\circ} C =\left(20+273.15^{-}\right) K =293.15 K$

Volume given, $V=1$ litre $=10^{-3} m ^{3}$

mass, $m=1.293 gm$

USe equation, $P V=m R T$

$(101325)\left(10^{-3}\right)$

$=(1.293) \cdot R \cdot(293.15)$

$R=0.2673 \; J / K - gm$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A source of sound gives five beats per second when sounded with another source of frequency $100\,{s^{ - 1}}$. The second harmonic of the source together with a source of frequency $205\,{s^{ - 1}}$ gives five beats per second. What is the frequency of the source .... ${s^{ - 1}}$
An experiment is performed to obtain the value of acceleration due to gravity $g$ by using a simple pendulum of length $L$. In this experiment time for $100\, oscillations$ is measured by using a watch of $1\, second$ least count and the value is $90.0\, seconds$. The length $L$ is measured by using a meter scale of least count $1\, mm$ and the value is $20.0\, cm$. The  error in the determination of $g$ would be  ........... $\%$
The string of a violin emits a note of $205 \,Hz$ at its correct tension. The string is tightened slightly and then it produces six beats in two seconds with a tuning fork of frequency $205 Hz$. The frequency of the note emitted by the taut string is .......... $Hz$ 
A truck and a car are moving with equal velocity. On applying the brakes both will stop after certain distance, then
At time $t=0$, a car moving along a straight line has a velocity of $16 \;m / s$. It slows down with an acceleration of $-0.5 t \;m / s ^2$, where $t$ is in second. Mark the correct statement (s).
A heave uniform rod Is hanging vertically form a foxed support. It is stretched by its won weight. The diameter of the rod is.
A solid sphere rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of sphere, then passes through over a solid cylinder and then is connected to block of mass $M$ as  shown in figure. If the system is released from rest then the speed acquired by block after it has fallen through distance $h$ is
When $M_1$ gram of ice at $-10\,^oC$ (specific heat $= 0.5\, cal\, g^{-1}\,^oC^{-1}$) is added to $M_2$ gram of water at $50\,^oC$, finally no ice is left and the water is at $0\,^oC$. The value of latent heat of ice, in $cal\, g^{-1}$ is
If liquefied oxygen at $1$ atmospheric pressure is heated from $50\, K$ to $300\, K$ by supplying heat at constant rate. The graph of temperature vs time will be
A ball is thrown up in the sky. After reaching a height, the ball falls back. What can be said about the average velocity?