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A Balloon Is Filled with Helium at a Temperature of 25^circ C and a Pressure of 1 Atm. If the Temperature Increases to 35^circ C What

Problemas

A balloon is filled with helium at a temperature of 25^circ C and a pressure of 1 atm. If the temperature increases to 35^circ C what happens to the volume of the balloon, assuming the pressure remains constant? A. The volume decreases. B. The volume doubles. C. The volume remains the same. D. The volume increases.

Roztwór

Gilda maestro · Tutor durante 5 años
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4.2 (333 Votos)

Respuesta

To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when the pressure is constant. The formula for Charles's Law is: where:- is the initial volume- is the initial temperature (in Kelvin)- is the final volume- is the final temperature (in Kelvin)First, we need to convert the temperatures from Celsius to Kelvin by adding 273.15 to each temperature.Initial temperature, Final temperature, Since the pressure remains constant, we can set up the equation using Charles's Law: We need to solve for : Since is the initial volume and we are looking for the change in volume, we can denote the initial volume as : This shows that is greater than , indicating that the volume increases when the temperature increases.Therefore, the correct answer is:D. The volume increases.