When a gas in a closed vessel was heated so as to increase its temperature by ${5^o}C$, there occurred an increase of $1\%$ in its pressure. The original temperature of the gas was ...... $^oC$
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An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is
$Assertion :$ One mole of any substance at any temperature or volume always contains $6.02\times10^{23}$ molecules.
$Reason :$ One mole of a substance always refers to $S.T.P.$ conditions.
The temperature of a gas having $2.0 \times 10^{25}$ molecules per cubic meter at $1.38 \mathrm{~atm}$ (Given, $\mathrm{k}=$ $\left.1.38 \times 10^{-23} \mathrm{JK}^{-1}\right)$ is :
If pressure of $C{O_2}$ (real gas) in a container is given by $P = \frac{{RT}}{{2V - b}} - \frac{a}{{4{b^2}}}$ then mass of the gas in container is ...... $gm$
A horizontal uniform glass tube of $100 \,cm$, length sealed at both ends contain $10 \,cm$ mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively $81°C$ and $76\, cm$ of mercury. If the air column at one end is kept at $0°C$ and the other end at $273°C$, the pressure of air which is at $0°C$ is (in $cm$ of $Hg$)
One mole of an ideal monatomic gas undergoes a process described by the equation $PV^3 =$ constant. The heat capacity of the gas during this process is