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12 June, 10:33

A sample of gas in a balloon has an initial temperature of 21 ∘C and a volume of 1310 L. If the temperature changes to 70 ∘C, and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas? Express your answer with the appropriate units.

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  1. 12 June, 10:37
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    1528.3L

    Explanation:

    To solve this problem we should know this formula:

    V₁ / T₁ = V₂ / T₂

    We must convert the values of T° to Absolute T° (T° in K)

    21°C + 273 = 294K

    70°C + 273 = 343K

    Now we can replace the data

    1310L / 294K = V₂ / 343K

    V₂ = (1310L / 294K). 343K → 1528.3L

    If the pressure keeps on constant, volume is modified directly proportional to absolute temperature. As T° has increased, the volume increased too
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