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21 November, 09:22

A scientist collects 0.24 mole of hydrogen gas in a balloon. The temperature of the hydrogen is 35°C, and the pressure in the balloon is 1.05 atmospheres. What is the volume of the balloon?

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Answers (2)
  1. 21 November, 09:36
    0
    5.77 L

    Solution:

    Data Given:

    Moles = n = 0.24 mol

    Temperature = T = 35 °C + 273 = 308 K

    Pressure = P = 1.05 atm

    Volume = V = ?

    Formula Used:

    Let's assume that the hydrogen gas in balloon is acting as an Ideal gas, the according to Ideal Gas Equation,

    P V = n R T

    where; R = Universal Gas Constant = 0.082057 atm. L. mol⁻¹. K⁻¹

    Solving Equation for V,

    V = n R T / P

    Putting Values,

    V = (0.24 mol * 0.082057 atm. L. mol⁻¹. K⁻¹ * 308 K) : 1.05 atm

    V = 5.77 L
  2. 21 November, 09:43
    0
    5.78

    Explanation:

    Volume of the balloon is 5.78 L.

    Solution: - There are 0.24 moles of hydrogen gas in a balloon at 35 degree C and 1.05 atm pressure. It asks to calculate the volume of the balloon.

    This problem is based on ideal gas law equation:

    P = 1.05 atm, n = 0.24 mole, T = 35 + 273 = 308 K

    R =

    V = ?

    The equation could be rearranged for the volume as:

    Let's plug in the values and do the calculations to get the volume of the balloon:

    V = 5.78 L

    So, the volume of the gas balloon is 5.78 L.
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