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(B) According to Avogadro's law,under similar conditions of temperature and pressure,equal volumes of gases contain an equal number of moles. Since th

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$64$

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(B) According to Avogadro's law,under similar conditions of temperature and pressure,equal volumes of gases contain an equal number of moles. Since the containers are identical,the volume is the same,so $n_A = n_B$. The number of moles is given by $n = \frac{w}{Mw}$,where $w$ is the mass and $Mw$ is the molar mass. Therefore,$\frac{w_A}{40} = \frac{w_B}{x}$. Rearranging the terms,we get $\frac{w_A}{w_B} = \frac{40}{x}$. Given the mass ratio $\frac{w_A}{w_B} = \frac{5}{8}$,we substitute this into the equation: $\frac{5}{8} = \frac{40}{x}$. Solving for $x$: $x = \frac{40 	imes 8}{5} = 8 	imes 8 = 64$.

Two separate identical containers contain Gas $A$ $(Mw = 40 \ g \ mol^{-1})$ and gas $B$ $(Mw = x \ g \ mol^{-1})$ in the mass ratio $5 : 8$ under similar conditions of temperature and pressure. The value of $x$ is $:-$

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