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2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned?
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2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 AT...
Solution:
Given:
Volume of the first bulb (V1) = 5 liters
Volume of the second bulb (V2) = 10 liters
Initial pressure in the first bulb (P1) = 9 ATM
Initial pressure in the second bulb (P2) = 6 ATM
We need to find the final pressure in both bulbs when they are connected and the temperature remains constant.
Step 1: Understanding the Problem
When two bulbs are connected, the total volume becomes the sum of individual volumes, and the total pressure is shared between the two bulbs. Since the temperature remains constant, we can use the ideal gas law to solve the problem.
Step 2: Applying the Ideal Gas Law
The ideal gas law states that PV = nRT, where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
Since the temperature remains constant, we can simplify the equation to:
(P1 * V1) + (P2 * V2) = (Pf * Vf)
Where:
P1 = initial pressure in the first bulb
V1 = volume of the first bulb
P2 = initial pressure in the second bulb
V2 = volume of the second bulb
Pf = final pressure in both bulbs (to be determined)
Vf = total volume when the bulbs are connected (V1 + V2)
Step 3: Calculating the Final Pressure
Substituting the given values into the equation, we get:
(9 ATM * 5 L) + (6 ATM * 10 L) = (Pf * (5 L + 10 L))
Simplifying:
45 L*ATM + 60 L*ATM = (Pf * 15 L)
Combining like terms:
105 L*ATM = (Pf * 15 L)
Dividing both sides by 15 L:
Pf = (105 L*ATM) / 15 L
Simplifying:
Pf = 7 ATM
Therefore, the final pressure in both bulbs when they are connected is 7 ATM.
Given:
Volume of the first bulb (V1) = 5 liters
Volume of the second bulb (V2) = 10 liters
Initial pressure in the first bulb (P1) = 9 ATM
Initial pressure in the second bulb (P2) = 6 ATM
We need to find the final pressure in both bulbs when they are connected and the temperature remains constant.
Step 1: Understanding the Problem
When two bulbs are connected, the total volume becomes the sum of individual volumes, and the total pressure is shared between the two bulbs. Since the temperature remains constant, we can use the ideal gas law to solve the problem.
Step 2: Applying the Ideal Gas Law
The ideal gas law states that PV = nRT, where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
Since the temperature remains constant, we can simplify the equation to:
(P1 * V1) + (P2 * V2) = (Pf * Vf)
Where:
P1 = initial pressure in the first bulb
V1 = volume of the first bulb
P2 = initial pressure in the second bulb
V2 = volume of the second bulb
Pf = final pressure in both bulbs (to be determined)
Vf = total volume when the bulbs are connected (V1 + V2)
Step 3: Calculating the Final Pressure
Substituting the given values into the equation, we get:
(9 ATM * 5 L) + (6 ATM * 10 L) = (Pf * (5 L + 10 L))
Simplifying:
45 L*ATM + 60 L*ATM = (Pf * 15 L)
Combining like terms:
105 L*ATM = (Pf * 15 L)
Dividing both sides by 15 L:
Pf = (105 L*ATM) / 15 L
Simplifying:
Pf = 7 ATM
Therefore, the final pressure in both bulbs when they are connected is 7 ATM.
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2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned?
Question Description
2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned?.
2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 bulbs of volume 5 liter and 10 liter containing an ideal gas of 9 ATM and 6 ATM respectively are connected what is the final pressure in the 2 bulbs if the temperature remains concerned?.
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