a 100 cm cube gas cylinder filled with chlorine under 160 torr pressure is connected by stop clock with another cylinder of 400 cm cube filled with nitrogen under pressure of200 torr. what will be total pressure when stop clock is opened?
But what is the the T you kept
First I want to correct one of the words in your sentences. The word is stopcock and not stop clock.
I would solve this in 4 steps.
1. Calculate n from PV = nRT for the Cl2 gas. You don't have a T listed but stick any number in there but use the same number throughout.
2. Calculate n from PV = nRT for the N2 gas.
3. Add n from 1 to n from 2.
4. Using total n, solve for P from PV = nRT. Use the same T used above and use for V the total volume of the two cylinders.
I ran through the calculation quickly and came up with approximately 200 mm (about 0.25 atm).
To find the total pressure when the stop clock is opened, we need to combine the partial pressures of chlorine and nitrogen.
We can use Dalton's Law of Partial Pressures, which states that the total pressure of a mixture of gases is equal to the sum of their individual partial pressures.
First, let's find the partial pressure of chlorine:
Partial Pressure of Chlorine = Pressure × Volume
Partial Pressure of Chlorine = 160 torr × 100 cm³ (since the volume of the chlorine cylinder is 100 cm³)
Partial Pressure of Chlorine = 16000 torr·cm³
Next, let's find the partial pressure of nitrogen:
Partial Pressure of Nitrogen = Pressure × Volume
Partial Pressure of Nitrogen = 200 torr × 400 cm³ (since the volume of the nitrogen cylinder is 400 cm³)
Partial Pressure of Nitrogen = 80000 torr·cm³
Now, we can calculate the total pressure when the stop clock is opened:
Total Pressure = Partial Pressure of Chlorine + Partial Pressure of Nitrogen
Total Pressure = 16000 torr·cm³ + 80000 torr·cm³
Total Pressure = 96000 torr·cm³
Therefore, the total pressure when the stop clock is opened will be 96000 torr·cm³.