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16 April, 07:59

A sample of gas has a pressure of 3.00 atm at 25 degrees Celsius. What would the pressure be at 52 degrees Celsius if the volume stays constant? Which gas law does this problem represent?

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  1. 16 April, 08:17
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    The law that relate pressure and temperature of gases at constant volumes is Gay-Lussac's Law.

    It states that the pressure of a fixed mass of gas is directly proportional to the absolute temperature when the volume is constant.

    P / T = constant = > P1 / T1 = P2 / T2

    => P2 = T2 * P1 / T1

    Remember that the formula uses absolute temperatures.

    T2 = 52 + 273.15 = 325.15 K

    T1 = 25 + 273.15 = 298.15 K

    => P2 = 325.15K * 3.00 atm / 298.15K = 3.27 atm.

    Answer: 3.27 atm
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