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  • Calculate Gas Pressure in a Balloon: A Step-by-Step Guide
    Here's how to calculate the pressure of the gas in the balloon:

    1. Convert Units

    * Temperature (Celsius to Kelvin): T(K) = T(°C) + 273.15

    So, 35°C = 35 + 273.15 = 308.15 K

    * Volume (Liters to Cubic Meters): 1 L = 0.001 m³

    So, 0.34 L = 0.34 * 0.001 m³ = 0.00034 m³

    2. Use the Ideal Gas Law

    The ideal gas law is: PV = nRT

    where:

    * P = pressure (Pa)

    * V = volume (m³)

    * n = number of moles

    * R = ideal gas constant (8.314 J/mol·K)

    * T = temperature (K)

    3. Solve for Pressure

    Rearrange the ideal gas law to solve for pressure:

    P = (nRT) / V

    4. Substitute Values

    P = (0.0233 mol * 8.314 J/mol·K * 308.15 K) / 0.00034 m³

    5. Calculate

    P ≈ 1.76 x 10⁵ Pa

    Therefore, the pressure in the balloon is approximately 1.76 x 10⁵ Pascals.

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