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12 July, 16:57

When the temperature stays the same, the volume of gas is inversely proportional to the pressure of the gas. If a balloon is filled with 228 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 38 cubic inches.

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Answers (2)
  1. 12 July, 17:55
    0
    84 pounds per square inch

    Step-by-step explanation:

    Extracting the key information from the question:

    ** * Volume of a gas is inversely proportional to pressure of the gas.

    ** * A balloon is filled with 228 cubic inches of a gas at a pressure of 14 pounds per square inch.

    ** * Volume is then decreased to 38 cubic inches. we are required to find the new pressure of the gas.

    Since volume is inversely proportional to pressure, then:

    V = k * (1/p)

    V = k/p

    V = volume, p = pressure, k = mathematical constant

    Since, V = 228 cubic inches, P = 14 pounds per square inches, k = ?

    Substituting appropriately, we have:

    228/1 = k/14

    cross multiply

    K = 228 * 14 = 3192

    Using the same formula, we can calculate the new pressure of the gas since we know our mathematical constant and the volume it was decreased to.

    V = k/p

    Here, volume = 38, k = 3192

    We now have:

    38/1 = 3192/p

    Cross multiply

    38 * p = 3192

    p = 3192/38

    p = 84 pounds per square inch.

    The new pressure of the gas after decrement of the volume = 84 pounds per square inch
  2. 12 July, 19:07
    0
    84 pounds per square inch

    Step-by-step explanation:

    Given:

    Initial volume V1 = 228 cubic inches

    Initial pressure P1=14 pounds per square inch

    Final volume V2=38 cubic inches

    Required:

    Final pressure P2=?

    According to the Boyle's law, the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature.

    P1 V1 = P2 V2

    P2 = (P1 x V1) / V2

    P2 = (14 x 228) / 38

    P2 = 84 pounds per square inch

    Therefore, the new pressure of the gas is 84 pounds per square inch
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