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A rigid cylinder with a movable piston contains 50.0 liters of a gas at 30.0 degree C with a pressure of 1.00 atmosphere. What is the volume of the gas in the cylinder at STP? (1) 5.49 L (3) 55.5 L (2) 45.0 L (4) 455 L

Karen Wright

in Chemistry

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Dana Keller on January 27, 2018

Charles law states that the volume of a gas is directly proportional to temperature at constant pressure of a fixed amount of gas. the pressure under the given conditions is 1.00 atm and the pressure standard conditions STP is also 1.00 atm thus the pressure is kept constant. V1/T1 = V2/T2the parameters for the first instance in the left-hand side and the parameters for STP are in the right-hand side of the equation. T1 - the temperature in kelvin - 273 + 30.0 °C = 303 K T2 - standard temperature (273 K V1 - volume - 50.0 L substituting the values in the equation 50.0 L / 303 K = V / 273 K V = 45.0 L answer is 2) 45.0 L


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