Question

At same temperature three canisters $A$, $B$ and $C$ with volumes of $2.0$, $4.0$, and $6.0$ liters respectively. Canister $A$ contains $0.976$ g of $Ar$ gas at a pressure of $120$ torr, canister $B$ contain $1.37$ g of $N_2$ gas at a pressure of $210$ torr, and that of $C$ is completely empty at the start. Ideally, what would the final pressure in canister $C$ if the contents of $A$ and $B$ are completely transferred to $C$?

• A. $180$ torr
• B. $330$ torr
• C. $675$ torr
• D. $0.25$ atm
• E. None of the above

Answer 1

The correct option is A $180$ torr

$n_C=n_A+n_B$
$P_C{V}_C=P_A{V}_A+P_B{V}_B$
$P_C\times \text{6.0 L}=\text{120 torr}\times \text{2.0 L}+\text{210 torr}\times \text{4.0 L}$
$P_C\times \text{6.0 L}=\text{240 torr L}+\text{840 torr L}$
$P_C\times \text{6.0 L}=\text{1080 torr L}$
$P_C=\text{180 torr}$