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18 May, 10:05

The pressure of a gas changes from 120kPa to 50kPa. The volume changes from 45L to 40L. If the initial temperature is 81°C, what is the final temperature in Kelvin units?

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  1. 18 May, 12:59
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    The final temperature is 131 K

    Explanation:

    Step 1: Data given

    The initial pressure = 120 kPa = 1.18431 atm

    The final pressure = 50 kPa = 0.493462 atm

    The initial volume = 45 L

    The final volume = 40 L

    The initial temperature = 81 °C = 354 K

    Step 2: Calculate the final temperature

    (P1*V1) / T1 = (P2*V2) / T2

    ⇒with P1 = the initial pressure = 1.18431 atm

    ⇒with V1 = the initial volume = 45 L

    ⇒with T1 = the initial temperature = 354 K

    ⇒with P2 = the final pressure = 0.493462 atm

    ⇒with V2 = the final volume = 40 L

    ⇒with T2 = the final temperature = ?

    (1.18431 * 45) / 354 = (0.493462*40) / T2

    0.15054788 = 19.73848/T2

    T2 = 19.73848/0.15054788

    T2 = 131 K

    The final temperature is 131 K
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