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At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is?
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Problem: Find the volume of the evacuated bulb B when a bulb A of volume 100 ml containing an ideal gas is connected to it, and pressure falls down to 40% of its initial pressure at constant temperature.
Solution:
Step 1: Determine the initial pressure of the ideal gas in bulb A.
The initial pressure of the ideal gas in bulb A can be determined using the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
Since the temperature is constant, we can write:
P1V1 = nRT
where P1 is the initial pressure, V1 is the initial volume (100 ml), n is the number of moles of gas, R is the gas constant, and T is the constant temperature.
Step 2: Determine the final pressure of the ideal gas in bulb A.
When bulb A is connected to the evacuated bulb B, the gas in bulb A expands into bulb B until the pressure in both bulbs is equal. Since the temperature is constant, the final pressure of the ideal gas in both bulbs is the same.
Therefore, the final pressure of the ideal gas in bulb A is 40% of the initial pressure, or:
P2 = 0.4P1
Step 3: Determine the final volume of the ideal gas in both bulbs.
Since the final pressure of the ideal gas in both bulbs is the same, we can use the ideal gas law to determine the final volume of the ideal gas in both bulbs.
PV = nRT
where P is the final pressure (which is the same for both bulbs), V is the final volume (which is the volume of bulb B), n is the number of moles of gas (which is the same in both bulbs since the gas is ideal), R is the gas constant, and T is the constant temperature.
Substituting the values of P2, V2, and V1 into the ideal gas law, we get:
P2V2 = nRT
0.4P1V2 = nRT
V2 = (nRT)/(0.4P1)
Step 4: Determine the final volume of bulb B.
To determine the final volume of bulb B, we need to determine the number of moles of gas in both bulbs.
n = PV/RT
where P is the final pressure (which is the same for both bulbs), V is the final volume (which is the volume of bulb B), n is the number of moles of gas, R is the gas constant, and T is the constant temperature.
Substituting the values of P2, V2, and T into the above equation, we get:
n = (0.4P1V2)/(RT)
Substituting the value of n into the equation for V2, we get:
V2 = (0.4P1V2RT)/(0.4P1RT)
V2 = V1
Therefore, the final volume of bulb B is the same as the initial volume of bulb A, which is 100 ml.
Answer: The volume of bulb B is 100 ml.
Solution:
Step 1: Determine the initial pressure of the ideal gas in bulb A.
The initial pressure of the ideal gas in bulb A can be determined using the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
Since the temperature is constant, we can write:
P1V1 = nRT
where P1 is the initial pressure, V1 is the initial volume (100 ml), n is the number of moles of gas, R is the gas constant, and T is the constant temperature.
Step 2: Determine the final pressure of the ideal gas in bulb A.
When bulb A is connected to the evacuated bulb B, the gas in bulb A expands into bulb B until the pressure in both bulbs is equal. Since the temperature is constant, the final pressure of the ideal gas in both bulbs is the same.
Therefore, the final pressure of the ideal gas in bulb A is 40% of the initial pressure, or:
P2 = 0.4P1
Step 3: Determine the final volume of the ideal gas in both bulbs.
Since the final pressure of the ideal gas in both bulbs is the same, we can use the ideal gas law to determine the final volume of the ideal gas in both bulbs.
PV = nRT
where P is the final pressure (which is the same for both bulbs), V is the final volume (which is the volume of bulb B), n is the number of moles of gas (which is the same in both bulbs since the gas is ideal), R is the gas constant, and T is the constant temperature.
Substituting the values of P2, V2, and V1 into the ideal gas law, we get:
P2V2 = nRT
0.4P1V2 = nRT
V2 = (nRT)/(0.4P1)
Step 4: Determine the final volume of bulb B.
To determine the final volume of bulb B, we need to determine the number of moles of gas in both bulbs.
n = PV/RT
where P is the final pressure (which is the same for both bulbs), V is the final volume (which is the volume of bulb B), n is the number of moles of gas, R is the gas constant, and T is the constant temperature.
Substituting the values of P2, V2, and T into the above equation, we get:
n = (0.4P1V2)/(RT)
Substituting the value of n into the equation for V2, we get:
V2 = (0.4P1V2RT)/(0.4P1RT)
V2 = V1
Therefore, the final volume of bulb B is the same as the initial volume of bulb A, which is 100 ml.
Answer: The volume of bulb B is 100 ml.
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At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is?
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At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is?.
At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At constant temperature a bulb A of volume 100ml containing an ideal gas was connected to another evacuated bulb B. The pressure fell down to 40 %of it's initial pressure. The volume of bulb B (in ml) is?.
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