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21 March, 11:14

A balloon inflated in a room at 27 degrees celsius has a volume of 8.00 L. the balloon is then heated to a temperature of 78 degrees Celsius. What is the new volume if the pressure remains constant?

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  1. 21 March, 11:44
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    This problem is being solved using Ideal Gas Equation.

    PV = nRT

    Data Given:

    Initial Temperature = T₁ = 27 °C = 300 K

    Initial Pressure = P₁ = constant

    Initial Volume = V₁ = 8 L

    Final Temperature = T₂ = 78 °C = 351 K

    Final Pressure = P₂ = constant

    Final Volume = V₂ = ?

    As,

    Gas constant R and Pressures are constant, so, Ideal gas equation can be written as,

    V₁ / T₁ = V₂ / T₂

    Solving for V₂,

    V₂ = (V₁ * T₂) : T₁

    Putting Values,

    V₂ = (8 L * 351 K) : 300 K

    V₂ = 9.38 L
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