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31 January, 04:47

A sample of helium gas has a pressure of 1.20 atm at 22.0 C. At what Celsius temperature will the helium reach a pressure of 2.00 atm?

A. 492 k

B. 219 c

C. 36.6 c

D. 309 c

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Answers (1)
  1. 31 January, 06:26
    0
    Answer: 36.6°C

    Explanation:

    Given that,

    initial pressure of helium (P1) = 1.20 atm

    Initial temperature (T1) = 22.0°C

    Final temperature (T2) = ?

    Final pressure of helium (P2) = 2.00 atm

    Since pressure and temperature are given while volume is constant, apply the formula for pressure's law

    P1/T1 = P2/T2

    1.20 atm / 22.0°C = 2.00 atm / T2

    Cross multiply

    1.20 atm•T2 = 2.00 atm•22°C

    1.20 atm•T2 = 44 atm•°C

    Divide both sides by 1.20 atm

    1.20 atm•T2/1.20 atm = 44 atm•°C/1.20 atm

    T2 = 36.6°C
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