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Question: The r.m.s. velocity of a certain gas is \(O_{2}\) at \(CO_{2}\). The temperature, at which the r.m.s...

The r.m.s. velocity of a certain gas is O2O_{2} at CO2CO_{2}. The temperature, at which the r.m.s. velocity becomes double.

A

H2H_{2}

B

1gCaCO31gCaCO_{3}

C

CO2CO_{2}

D

H2H_{2}

Answer

H2H_{2}

Explanation

Solution

Z=pVmRT=1−aRTZ = \frac{pV_{m}}{RT} = 1 - \frac{a}{RT}⇒ (p+aVm2)(Vm)=RT\left( \mathbf{p +}\frac{\mathbf{a}}{\mathbf{V}_{\mathbf{m}}^{\mathbf{2}}} \right)\mathbf{(}\mathbf{V}_{\mathbf{m}}\mathbf{) = RT}

Given pVm=RTpV_{m} = RT, p(Vm−b)=RTp(V_{m} - b) = RT, (p+aVm2)(Vm−b)=RT\left( p + \frac{a}{V_{m}^{2}} \right)(V_{m} - b) = RT, bb

1=2.253atmyhVj2eksy−2,b=0.0428yhVj eksy−1)1 = 2.253atmyhVj^{2}eksy^{- 2},b = 0.0428yhVj\ eksy^{- 1}); 0oC0^{o}C ⇒ TcT_{c}