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The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 exerts a pressure of 1.40 MPa and that in B of volume 0.15 m2 exerts a pressure 0.7 MPa. The two containers are united by a tube of negligible volume and gases are allowed to intermingle. Then if the temperature remains constant the final pressure in the container will be (in MPa)
    Correct answer is '0.98'. Can you explain this answer?
    Verified Answer
    The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 ex...
    µA + µB = µ


    p = 0.98MPa
    The correct answer is: 0.98
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    Most Upvoted Answer
    The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 ex...


    Explanation:

    Gas laws state that the pressure of a gas is directly proportional to its volume when the temperature is constant. When the two containers are united, the total volume of the system becomes 0.1 m^3 + 0.15 m^3 = 0.25 m^3.

    Using the principle of conservation of mass:
    - The total number of moles of gas remains constant in the two containers.
    - The total pressure in the combined system is equal to the sum of the individual pressures in each container.

    Calculating the final pressure:
    - Using the formula: P1V1 = P2V2
    - For container A: P1 = 1.40 MPa, V1 = 0.1 m^3
    - For container B: P2 = 0.7 MPa, V2 = 0.15 m^3
    - Total volume (V) = 0.25 m^3

    Calculating the final pressure in the combined container:
    - P1V1 + P2V2 = PfinalV
    - (1.40 MPa)(0.1 m^3) + (0.7 MPa)(0.15 m^3) = Pfinal(0.25 m^3)
    - 0.14 MPa + 0.105 MPa = Pfinal(0.25 m^3)
    - 0.245 MPa = Pfinal(0.25 m^3)
    - Pfinal = 0.98 MPa

    Therefore, the final pressure in the combined container will be 0.98 MPa.
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    The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 exerts a pressure of 1.40 MPa and that in B of volume 0.15 m2 exerts a pressure 0.7 MPa. The two containers are united by a tube of negligible volume and gases are allowed to intermingle. Then if the temperature remains constant the final pressure in the container will be (in MPa)Correct answer is '0.98'. Can you explain this answer?
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    The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 exerts a pressure of 1.40 MPa and that in B of volume 0.15 m2 exerts a pressure 0.7 MPa. The two containers are united by a tube of negligible volume and gases are allowed to intermingle. Then if the temperature remains constant the final pressure in the container will be (in MPa)Correct answer is '0.98'. 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 The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 exerts a pressure of 1.40 MPa and that in B of volume 0.15 m2 exerts a pressure 0.7 MPa. The two containers are united by a tube of negligible volume and gases are allowed to intermingle. Then if the temperature remains constant the final pressure in the container will be (in MPa)Correct answer is '0.98'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gases occupy two containers A and B. Gas in A, of volume 0.1 m3 exerts a pressure of 1.40 MPa and that in B of volume 0.15 m2 exerts a pressure 0.7 MPa. The two containers are united by a tube of negligible volume and gases are allowed to intermingle. Then if the temperature remains constant the final pressure in the container will be (in MPa)Correct answer is '0.98'. Can you explain this answer?.
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