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29 March, 18:27

The volume of a fixed mass of an ideal gas is doubled while the temperature is increased from 100 K to 400 K.

What is the final pressure in terms of its initial pressure?

a. 2 Pi

b. 3 Pi

c. 4 Pi

d. 1/2 Pi

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Answers (1)
  1. 29 March, 20:21
    0
    c. 4 Pi

    Explanation:

    The pressure law states that the pressure of a gas is directly proportional to its temperature provided volume and other physical quantities remain constant.

    If t is the temperature and p is the pressure of a gas,

    p ∝ t

    p = kt where k s the constant of proportionality

    k = p/t

    If t1 and p1 are the initial temperature and pressure respectively and

    t2, p2 are the final temperature and pressure

    p1/t1 = p2/t2

    t1 = 100k, t2 = 400k

    p2 = p1 * 400/100

    p2 = 4t1

    The final pressure of the gas is 4 times the initial pressure.
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