Liquid water can be separated into hydrogen gas and oxygen gas to electro sis. One mole of hydrogen gas in 0.5 moles of oxygen gas is produced from one mole of liquid water collected in a separate 10 L container at 1 atm. Will the temperatures of the gas be equal? In 1 to 2 sentences use the ideal gas law to explain your answer

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Answer:

Explanation:

Liquid water can be separated into hydrogen gas and oxygen gas by

electrolysis. One mole of hydrogen gas in 0.5 moles of oxygen gas is produced from one mole of liquid water collected in a separate 10 L containers at 1 atm. Will the temperatures of the gas be equal? In 1 to 2 sentences use the ideal gas law to explain your answer

container A has 1 mole of H2, container B has 0.5 moles of O2

PV=nRT  Each container has the SAME P and V , so container A must have a lower T since PV=1XRXT, while container B has 0.5XRXT and so T is greater in order to keep PV constant

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The ideal gas law [tex]\text{(PV = nRT)}[/tex] specifies the mechanical behavior of ideal gases. It is capable of calculating the volume of gases produced or consumed.

  • In chemical equations, these equations are widely used to convert between volumes and molar quantities.
  • Use ideal gas law

             [tex]\to PV=n RT\\\\[/tex]

Therefore

  • [tex]\text{V, R ,\ and\ P}[/tex] is the same for both So, [tex]\bold{\frac{PV}{R}= nt }[/tex] = same for both.
  • When n increases, T decreases, so, n is 1 for [tex]H_2[/tex] and 0.5 for [tex]O_2[/tex], implying that [tex]H_2[/tex] is hotter.

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