an oxygen tank contains 12.0 L at 25 degree C and 3 atms. After a 4 L canister of oxygen at 25 degree C and 3 atms is emptied into the storage tank, what will happen to the

temperature and pressure of the tank
to be?

Use PV = nRT and solve for n = number of mols n 12.0 L tank initially.

Use PV = nRT and solve for n = number of mols in 4.0 L canister initially.
Add mols, put total into the 12.0 L tank and use PV = nRT and solve for new P. (more mols into same size tank means higher pressure). The problem says the T is the same for both; however, if we place an extra 4L into the storage tank we must do work to do it so the T will rise somewhat.

biy

To determine the temperature and pressure of the oxygen tank after the canister is emptied, we need to apply the ideal gas law and consider the fact that the amount of oxygen (in moles) in the tank remains constant.

Let's first calculate the initial moles of oxygen in the tank using the given information:

P₁ = 3 atm (initial pressure)
V₁ = 12.0 L (initial volume)
T₁ = 25 °C = 25 + 273.15 = 298.15 K (initial temperature)

We can convert the pressure to Pascals (Pa) by multiplying by 101325 (since 1 atm = 101325 Pa).

P₁ = 3 atm * 101325 Pa/atm = 303975 Pa
V₁ = 12.0 L
T₁ = 298.15 K

Using the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvins.

R = 8.314 J/(mol·K) (ideal gas constant)

n₁: the initial number of moles of oxygen in the tank

n₁ = (P₁ * V₁) / (R * T₁)

Now, let's consider the final state of the tank after the 4 L canister of oxygen is emptied:

V₂ = V₁ + 4 L (volume of the tank after the canister is emptied)
T₂ = T₁ (the temperature remains the same until more information is given)
n₂: the final number of moles of oxygen in the tank

According to the problem, the amount of oxygen in moles, n₂, remains the same. Therefore, n₂ = n₁.

Now, we can rearrange the ideal gas law equation to solve for P₂:

P₂ = (n₂ * R * T₂) / V₂

Since n₂ = n₁, we can substitute n₂ with n₁.

P₂ = (n₁ * R * T₂) / V₂

So, to determine the final pressure and temperature, we need to know the final volume or additional information about how the gas behaves in the tank. Without this information, we cannot determine the exact values of P₂ and T₂.