Question

Three canisters, A, B, and C, are all at the same temperature, with volumes of 2.0, 4.0, and 6.0 liters, respectively. Canister A contains 0.976 g of argon gas at a pressure of 120 torr, Canister B contains 1.37 g of nitrogen gas at a pressure of 210 torr, and canister C is completely empty at the start. Assuming ideality, what would the pressure become 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

Answer: (A)

180 torr

$n_C=n_A+n_B$

$P_C{V}_C=P_A{V}_A+P_B{V}_B$

$PC\times 6.0L=120\text{torr}\times 2.0L+210\text{torr}\times 4.0L$

$P_C\times 6.0L=240\text{torr}L+840\text{torr}L$

$P_c\times 6.0L=1080$ torr L

$P_C=180$torr