$A$ gaseous mixture of $3$ gases $A$, $B$ and $C$ has a pressure of $10 \,atm$. The total number of moles is $10$. If the partial pressures of gases $A$ and $B$ are $3 \,atm$ and $1 \,atm$ respectively, and the molar mass of gas $C$ is $2 \,g/mol$, calculate the weight of $C$ in the mixture. (in $\,g$)

$80 \ mL$ of $O_2$ takes $2 \ minute$ to pass through the hole. What volume of $SO_2$ will pass through the hole in $3 \ minute$?

At $T(K)$,a gaseous mixture containing $H_2, He$ and $O_2$ exerted a pressure of $1 \ bar$. The weight percentage of $H_2$ and $He$ is $20$ and $16$ respectively. The partial pressure (in bar) of $H_2, He$ and $O_2$ is respectively

$A$ person living in $Manali$ observed that cooking food without using a pressure cooker takes more time. The reason for this observation is that at high altitude:

$x \ g$ of molecular oxygen $(O_2)$ is mixed with $200 \ g$ of neon $(Ne)$. The total pressure of the nonreactive mixture of $O_2$ and $Ne$ in the cylinder is $25 \ bar$. The partial pressure of $Ne$ is $20 \ bar$ at the same temperature and volume. The value of $x$ is $....$ [Given: Molar mass of $O_2 = 32 \ g \ mol^{-1}$. Molar mass of $Ne = 20 \ g \ mol^{-1}$]

Consider the following statements: For diatomic gases,the ratio $C_p/C_v$ is equal to:
$1$. $1.40$ (lower temperature)
$2$. $1.66$ (moderate temperature)
$3$. $1.29$ (higher temperature)
Which of the above statements are correct?