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A vessel contains 1 mole of O2 gas (molar mass 32)
at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure of
a)p
b)p/7
c)2p
d)9RT
Correct answer is option 'C'. Can you explain this answer?
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A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temper...
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A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temper...
From Charles law , P is proportional to T
P/T=P'/2T
P'=2P.
P'=final pressure.....
P/T=P'/2T
P'=2P.
P'=final pressure.....
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A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temper...
Given:
- Vessel 1 contains 1 mole of O2 gas with a molar mass of 32 at temperature T.
- The pressure of the gas in vessel 1 is p.
- Vessel 2 contains 1 mole of the gas with a molar mass of 4 at temperature 2T.
To Find:
The pressure of the gas in vessel 2.
Solution:
1. Ideal Gas Law:
The ideal gas law relates the pressure, volume, temperature, and number of moles of a gas. It can be written as:
PV = nRT
Where:
P = pressure of the gas
V = volume of the gas
n = number of moles of the gas
R = ideal gas constant
T = temperature of the gas
2. Relationship between Pressure, Volume, and Temperature:
According to the ideal gas law, if the number of moles and volume of a gas are constant, then the pressure of the gas is directly proportional to its temperature. Mathematically, this can be expressed as:
P1/T1 = P2/T2
Where:
P1 = pressure of gas 1
T1 = temperature of gas 1
P2 = pressure of gas 2
T2 = temperature of gas 2
3. Applying the Relationship:
In this problem, the number of moles is the same in both vessels (1 mole). Therefore, we can apply the relationship between pressure and temperature to find the pressure of the gas in vessel 2.
We are given that the temperature of vessel 1 is T and the pressure is p. The temperature of vessel 2 is 2T. Let's substitute these values into the relationship:
P1/T1 = P2/T2
p/T = P2/(2T)
Simplifying the equation, we get:
p = P2/2
To find the pressure of the gas in vessel 2, we can rearrange the equation:
P2 = 2p
4. Answer:
Therefore, the pressure of the gas in vessel 2 is 2p. Option 'C' is the correct answer.
- Vessel 1 contains 1 mole of O2 gas with a molar mass of 32 at temperature T.
- The pressure of the gas in vessel 1 is p.
- Vessel 2 contains 1 mole of the gas with a molar mass of 4 at temperature 2T.
To Find:
The pressure of the gas in vessel 2.
Solution:
1. Ideal Gas Law:
The ideal gas law relates the pressure, volume, temperature, and number of moles of a gas. It can be written as:
PV = nRT
Where:
P = pressure of the gas
V = volume of the gas
n = number of moles of the gas
R = ideal gas constant
T = temperature of the gas
2. Relationship between Pressure, Volume, and Temperature:
According to the ideal gas law, if the number of moles and volume of a gas are constant, then the pressure of the gas is directly proportional to its temperature. Mathematically, this can be expressed as:
P1/T1 = P2/T2
Where:
P1 = pressure of gas 1
T1 = temperature of gas 1
P2 = pressure of gas 2
T2 = temperature of gas 2
3. Applying the Relationship:
In this problem, the number of moles is the same in both vessels (1 mole). Therefore, we can apply the relationship between pressure and temperature to find the pressure of the gas in vessel 2.
We are given that the temperature of vessel 1 is T and the pressure is p. The temperature of vessel 2 is 2T. Let's substitute these values into the relationship:
P1/T1 = P2/T2
p/T = P2/(2T)
Simplifying the equation, we get:
p = P2/2
To find the pressure of the gas in vessel 2, we can rearrange the equation:
P2 = 2p
4. Answer:
Therefore, the pressure of the gas in vessel 2 is 2p. Option 'C' is the correct answer.
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A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer?
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A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer?.
A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel contains 1 mole of O2 gas (molar mass 32)... more at a temperature T. The pressure of the gas is p. An identical vessels containing one mole of the gas (molar mass 4) at a temperature 2T has a pressure ofa)pb)p/7c)2pd)9RTCorrect answer is option 'C'. Can you explain this answer?.
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