ramirezxjessica03 ramirezxjessica03
  • 27-04-2020
  • Chemistry
contestada

A balloon is inflated with 0.1247mol of Helium gas to a pressure of 1.26atm. If the volume 1.25L, what must the temperature be in Kelvin?

Respuesta :

xero099
xero099 xero099
  • 02-05-2020

Answer:

[tex]T = 154.028\,K[/tex]

Explanation:

Let consider that helium behaves ideally. The equation of state of the ideal gas is:

[tex]P \cdot V = n \cdot R_{u}\cdot T[/tex]

The temperature is cleared in the expression presented above:

[tex]T = \frac{P\cdot V}{R_{u}\cdot n}[/tex]

The temperature of the helium inside the balloon is:

[tex]T = \frac{(1.26\,atm)\cdot (1.25\,L)}{\left(0.082\,\frac{atm\cdot L}{mol\cdot K} \right)\cdot (0.1247\,mol)}[/tex]

[tex]T = 154.028\,K[/tex]

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