Problemas
A balloon has a volume of 2.5 L at a temperature of 300 K. If the temperature is increased to 450 K.what will be the new volume of the balloon?Assume pressure remains constant.
Roztwór
Cristina
professionell · Tutor durante 6 años
4.4
(339 Votos)
Respuesta
To solve this problem, we can use the ideal gas law, which states that the volume of a gas is directly proportional to its temperature, provided that the pressure and the amount of gas remain constant. This relationship is known as Charles's Law.Mathematically, Charles's Law can be expressed as:V1/T1 = V2/T2Where:V1 is the initial volume of the gasT1 is the initial temperature of the gasV2 is the final volume of the gasT2 is the final temperature of the gasGiven information:- Initial volume (V1) = 2.5 L- Initial temperature (T1) = 300 K- Final temperature (T2) = 450 KWe need to find the final volume (V2).Substituting the given values into the equation:V1/T1 = V2/T22.5 L / 300 K = V2 / 450 KSolving for V2:V2 = (2.5 L / 300 K) × 450 KV2 = 3.75 LTherefore, the new volume of the balloon when the temperature is increased to 450 K, assuming pressure remains constant, will be 3.75 L.