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A balloon of helium was put in the freezer at -23^circ C. Its volume at this temperature was 2.5 liters It was removed from the freezer. Eventually, it reached a temperature of 177^circ C What would its volume be at this temperature?(Neglect any force used to stretch the rubber balloon.) square
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To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is held 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 Celsius temperature.Initial temperature (
):
Final temperature (
):
Given that the initial volume (
) is 2.5 liters, we can now solve for the final volume (
) using Charles's Law:
Solving for
:
Therefore, the volume of the balloon at
would be approximately 4.50 liters.