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Two vessel of capacity 1.5 litres and 2 litres contain hydrogen gas and oxygen gas respectively under a pressure of 750mm and 100mm . The gases are mixed together Inna 5 litre vessel.what will be the final pressure of mixture?
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Answer:

Given:
- Capacity of the first vessel = 1.5 litres
- Capacity of the second vessel = 2 litres
- Pressure of hydrogen gas in the first vessel = 750mm
- Pressure of oxygen gas in the second vessel = 100mm
- Both gases are mixed in a 5 litre vessel

To find:
- Final pressure of the gas mixture

Solution:

Step 1: Calculation of moles of hydrogen and oxygen gas
- The number of moles of hydrogen gas in the first vessel can be calculated as follows:
- n = PV/RT
- P = 750mm Hg = 0.98 atm (approx)
- V = 1.5 litres
- R = 0.0821 L atm/K mol
- T = 273 + 25 = 298 K
- n = (0.98)(1.5)/(0.0821)(298) = 0.076 mol
- Similarly, the number of moles of oxygen gas in the second vessel can be calculated as follows:
- n = PV/RT
- P = 100mm Hg = 0.13 atm (approx)
- V = 2 litres
- R = 0.0821 L atm/K mol
- T = 273 + 25 = 298 K
- n = (0.13)(2)/(0.0821)(298) = 0.105 mol

Step 2: Calculation of total moles of gas mixture
- The total number of moles of gas mixture can be calculated as follows:
- n(total) = n(H2) + n(O2) = 0.076 + 0.105 = 0.181 mol

Step 3: Calculation of final pressure of gas mixture
- The final pressure of the gas mixture can be calculated using the following formula:
- P(total) = n(total)RT/V(total)
- R = 0.0821 L atm/K mol
- T = 273 + 25 = 298 K
- V(total) = 5 litres
- P(total) = (0.181)(0.0821)(298)/5 = 0.0087 atm (approx)

Step 4: Conversion of pressure to mm Hg
- The final pressure can be converted to mm Hg using the following formula:
- 1 atm = 760 mm Hg
- P(final) = 0.0087 atm x 760 mm Hg/atm = 6.6 mm Hg (approx)

Final Answer:
- The final pressure of the gas mixture is approximately 6.6 mm Hg.
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Two vessel of capacity 1.5 litres and 2 litres contain hydrogen gas and oxygen gas respectively under a pressure of 750mm and 100mm . The gases are mixed together Inna 5 litre vessel.what will be the final pressure of mixture?
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