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A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel?
Verified Answer
A gas is filled in a vessel at a certain temperature and at a preesure...
Ans.
Method to Solve :
P1 = 76 mmHg
P2 = ?
T1 = T2 = T
Let initial mass of the gas be m1
Increase in mass ∆m/m1 = 0.5
Thus final mass m2 = m1 + 0.5m1 = 1.5m1
Let M be the molecular mass of the gas
Thus, number of moles in the original mass of gas n1 = m1/M
Final number of moles in the gas n2 = m2/M = 1.5n1
Now eqn. of state of the gas in the initial state
P1V= n1 RT ---1.
Eqn. of state in the final state
P2V = n2 RT ---2.
By eqn. 1 and 2
P1 /n1 = P2 /n2
=> P2 = P1 (n2 /n1)
=> P2 = 76 (1.5n1/n1 )
=> P2 = 76�1.5
=> P2 = 114 mm Hg
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Most Upvoted Answer
A gas is filled in a vessel at a certain temperature and at a preesure...
Given information:
- Original pressure of gas in the vessel: 80 cm of mercury
- Mass of gas in the vessel increases by 60%
Steps to determine the resultant pressure:
Step 1: Understanding the relationship between pressure and mass:
- According to Boyle's Law, at constant temperature, the pressure of a gas is inversely proportional to its volume.
- Since the volume of the vessel remains constant, we can assume that the pressure is directly proportional to the mass of gas in the vessel.
Step 2: Calculating the mass increase:
- If the original mass of the gas in the vessel is 'm', then the mass after the increase is 60% more, which can be calculated as:
- Increased mass = m + 0.6m = 1.6m
Step 3: Calculating the pressure increase:
- Since the mass and pressure are directly proportional, we can set up the following proportion:
- Original pressure / Original mass = Resultant pressure / Increased mass
- Plugging in the given values:
- 80 cm Hg / m = Resultant pressure / 1.6m
Step 4: Solving for the resultant pressure:
- Cross-multiplying the equation from Step 3, we get:
- Resultant pressure = (80 cm Hg * 1.6m) / m
- Resultant pressure = 128 cm Hg
Final Answer:
The resultant pressure in the vessel is 128 cm of mercury.
- Original pressure of gas in the vessel: 80 cm of mercury
- Mass of gas in the vessel increases by 60%
Steps to determine the resultant pressure:
Step 1: Understanding the relationship between pressure and mass:
- According to Boyle's Law, at constant temperature, the pressure of a gas is inversely proportional to its volume.
- Since the volume of the vessel remains constant, we can assume that the pressure is directly proportional to the mass of gas in the vessel.
Step 2: Calculating the mass increase:
- If the original mass of the gas in the vessel is 'm', then the mass after the increase is 60% more, which can be calculated as:
- Increased mass = m + 0.6m = 1.6m
Step 3: Calculating the pressure increase:
- Since the mass and pressure are directly proportional, we can set up the following proportion:
- Original pressure / Original mass = Resultant pressure / Increased mass
- Plugging in the given values:
- 80 cm Hg / m = Resultant pressure / 1.6m
Step 4: Solving for the resultant pressure:
- Cross-multiplying the equation from Step 3, we get:
- Resultant pressure = (80 cm Hg * 1.6m) / m
- Resultant pressure = 128 cm Hg
Final Answer:
The resultant pressure in the vessel is 128 cm of mercury.
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A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel?
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A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel?.
A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas is filled in a vessel at a certain temperature and at a preesure of 80cm of mercury. At the same T more gas is filled in the vessel so that its mass increases by 60% Determine the resultant pressure in vessel?.
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