Question #5e940
1 Answer
Here's what I got.
Explanation:
Since your didn't provide enough information to allow for a direct answer, I'll try to take a more general approach and show you how to solve similar problems in the future.
Your tool of choice for any ideal gas problem is the ideal gas law equation. You can use it to derive all the other gas law equation.
#color(blue)(PV = nRT)" "# , where
Now, the problem starts like this
A sample of ammonia gas in a non-rigid container occupies a volume of
#"4.00 L"# at a certain temperature and pressure.
This tells you two important things
- the number of moles of gas is probably constant
- the volume of the gas is not constant
We can now distinguish three possible scenarios
- Pressure and temperature change
Let's say that the ammonia gas is initially kept at a pressure
#PV = nRT implies (PV)/T = overbrace(n * R)^(color(green)("constant"))#
This means that you can equate the initial state of the gas with a final state by writing
#color(blue)((P_1V_1)/T_1 = (P_2V_2)/T_2) -># the combined gas law equation
This equation implies that both the temperature and the pressure of the gas change from
To get the new volume of the gas, rearrange this equation to solve for
#V_2 = P_1/P_2 * T_2/T_1 * V_1#
At this point, you would use the new values for pressure and temperature,
- Pressure changes, but temperature remains constant
Once again, start from the ideal gas law equation. This time the pressure of the gas changes, but its temperature is kept constant.
#PV = overbrace(n * R * T)^(color(green)("constant"))#
You will thus have
#color(blue)(P_1V_1 = P_2V_2 -># the equation for Boyle's Law
This time, the new volume of the gas will be
#V_2 = P_1/P_2 * V_1#
Finally, the third possible scenario
- Pressure is kept constant, but temperature changes
Starting from the ideal gas law equation
#PV = nRT implies V/T = overbrace((nR)/P)^(color(green)("constant"))#
You will thus have
#color(blue)(V_1/T_1 = V_2/T_2) -># the equation for Charles' Law
This time, the new volume of the gas will be
#V_2 = T_2/T_1 * V_1#
This is how you can figure out which gas law to use. Remember, the ideal gas law equation can be used as the starting point for all of them.