If the pressure of an ideal gas contained in a closed vessel is increased by $0.5\%,$ the increase in temperature is $2K.$ The initial temperature of the gas is ...... $^oC$
A$27$
B$127$
C$300$
D$400$
Medium
Download our app for free and get started
B$127$
b $P \propto T$ $\Rightarrow$ $\frac{{{P_1}}}{{{P_2}}} = \frac{{{T_1}}}{{{T_2}}}$
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Calculate the value of mean free path $(\lambda)$ for oxygen molecules at temperature $27^{\circ}\, C$ and pressure $1.01 \times 10^{5} \,Pa$. Assume the molecular diameter $0.3 \,nm$ and the gas is ideal. $\left( k =1.38 \times 10^{-23}\, J\,K ^{-1}\right)$ (in $nm$)
A monoatomic gas of mass $4.0\, u$ is kept in an insulated container. Container is moving with velocity $30 \,m / s$. If container is suddenly stopped then change in temperature of the gas $\left( R =\right.$ gas constant) is $\frac{ x }{3 R } .$ Value of $x$ is ..........
$1\ mole$ of a gas with $\gamma$ = $7/5$ is mixed with $1\ mole$ of a gas with $\gamma$ = $5/3$, then the value of $\gamma$ for the resulting mixture is
The following graph represents the $T-V$ curves of an ideal gas (where $T$ is the temperature and $V$ the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines.
$0.056 \,kg$ of Nitrogen is enclosed in a vessel at a temperature of $127\,^{\circ} C$. The amount of heat required to double the speed of its molecules is k cal. (Take $R =2$ $cal \,mole$ $^{-1} K ^{-1}$ )
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 :