$A$ vessel of volume $1.2 \, L$ contains a gas at $1000 \, torr$ pressure. Another vessel of volume $3.8 \, L$ contains the same gas at $500 \, torr$ pressure. If both vessels are connected by a tube of negligible volume,what will be the resultant pressure in $torr$ when equilibrium is established?

  • A
    $1500$
  • B
    $750$
  • C
    $620$
  • D
    $550$

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Similar Questions

$A$ box of $1 \, L$ capacity is divided into two equal parts by a thin partition,which are filled with $2 \, g$ of $H_2$ and $16 \, g$ of $CH_4$ respectively. The temperature of each part is $T$. The pressure in each part is $P$. If the partition is removed,the total pressure will be:

Which of the following statements is correct?

Match gases under specified conditions listed in Column-$I$ with their properties/laws in Column-$II$.
Column-$I$ Column-$II$
$A$. Hydrogen gas $(P=200 \ atm, T=273 \ K)$ $p$. Compressibility factor $Z \neq 1$
$B$. Hydrogen gas $(P \approx 0, T=273 \ K)$ $q$. Attractive forces are dominant
$C$. $CO_2$ $(P=1 \ atm, T=273 \ K)$ $r$. $PV=nRT$
$D$. Real gas with very large molar volume $s$. $P(V_m-b)=RT$

$CH_4$ diffuses two times faster than a gas $X$. The number of molecules present in $32 \ g$ of gas $X$ is ($N$ is Avogadro number).

Equal masses of $CH_4$ and $H_2$ are mixed in an empty container at $25\,^oC$. The fraction of the total pressure exerted by methane is

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