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A flask contains argon and chlorine in the ratio of \(2:1\) by mass. The temperature of the mixture is \(27^{\circ}~\mathrm{C}\). The ratio of root mean square speed \(v_{rms}\) of the molecules of the two gases is: (Atomic mass of argon = \(39.9~\text{u},\) Molecular mass of chlorine = \(70.9~\text{u}\))
1. \(2.33\)
2. \(1.33\)
3. \(0.5\)
4. \(2\)

The figure shows a plot of \(\dfrac{PV}{T}\) versus \(P\) for \(1.00\times10^{-3} \) kg of oxygen gas at two different temperatures.
   
Then relation between \(T_1\) and \(T_2\) is: 
1. \(T_1=T_2\)
2. \(T_1<T_2\)
3. \(T_1>T_2\)
4. \(T_1 \geq T_2\)$\mathrm{}$

            
The value of \(\frac{PV}{T}\) where the curves meet on the \(y\text-\)axis is:
1. \(0.06~\text{JK}^{-1}\)
2. \(0.36~\text{JK}^{-1}\)
3. \(0.16~\text{JK}^{-1}\)
4. \(0.26~\text{JK}^{-1}\)

At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the RMS speed of a helium gas atom at \(-20^\circ \text{C}?\)
(Given the atomic mass of \(\mathrm{Ar}=39.9~\text{u}\) and of \(\mathrm{He}=4.0~\text{u}\))
1. \(1.01 \times 10^3 ~\text{K} \)
2. \(3.15 \times 10^3 ~\text{K} \)
3. \(1.91 \times 10^3~ \text{K} \)
4. \(2.52 \times 10^3 ~\text{K}\)

Which of the following diagrams (figure) depicts ideal gas behaviour?
   

The volume versus temperature graphs for a given mass of an ideal gas are shown in the figure at two different values of constant pressure. What can be inferred about relation between \(\mathrm{P_1}\) and \(\mathrm{P_2}\)?
               
1. \(\mathrm{P_1}>\mathrm{P_2} \)
2. \(\mathrm{P_1}=\mathrm{P_2} \)
3. \(\mathrm{P_1}<\mathrm{P_2} \)
4. data is insufficient