Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

It's 32°F (0°C) outside under normal atmospheric conditions (1 atm) at a stunt
a
performer's birthday party. There is a huge blue balloon filled with flammable hydrogen
(H2, molar mass = 2.02 g/mol) gas that she plans to safely ignite, causing a massive
explosion. Inside the balloon is 239 g of H2(g).
What is the volume of the balloon, in liters? Round to the nearest whole number.


Its 32F 0C Outside Under Normal Atmospheric Conditions 1 Atm At A Stunt A Performers Birthday Party There Is A Huge Blue Balloon Filled With Flammable Hydrogen class=

Sagot :

The volume of the balloon is approximately 2652 liters.

How to determine the volume occupied by the gas in a balloon

Let suppose that flammable hydrogen behaves ideally. GIven the molar mass ([tex]M[/tex]), in kilograms per kilomole, and mass of the gas ([tex]m[/tex]), in kilograms. The volume occupied by the gas ([tex]V[/tex]), in cubic centimeters, is found by the equation of state for ideal gases:

[tex]V = \frac{m\cdot R_{u}\cdot T}{P\cdot M}[/tex]   (1)

Where:

  • [tex]R_{u}[/tex] - Ideal gas constant, in kilopascal-cubic meters per kilomole-Kelvin.
  • [tex]T[/tex] - Temperature, in Kelvin
  • [tex]P[/tex] - Pressure, in kilopascals

If we know that [tex]m = 0.239\,kg[/tex], [tex]R_{u} = 8.314\,\frac{kPa\cdot m^{3}}{kmol\cdot K}[/tex], [tex]T = 273.15\,K[/tex], [tex]P = 101.325\,kPa[/tex] and [tex]M = 2.02\,\frac{kg}{kmol}[/tex], then the volume of the balloon is:

[tex]V = \frac{(0.239\,kg)\cdot \left(8.314\,\frac{kPa\cdot m^{3}}{kmol\cdot K} \right)\cdot (273.15\,K)}{\left(101.325\,kPa\right)\cdot \left(2.02\,\frac{kg}{kmol} \right)}[/tex]

[tex]V = 2.652\,m^{3}[/tex] ([tex]2652\,L[/tex])

The volume of the balloon is approximately 2652 liters. [tex]\blacksquare[/tex]

To learn more on ideal gases, we kindly invite to check this verified question: https://brainly.com/question/8711877

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.