The pressure inside a hydrogen-filled container was 2.10 atm at 21 ∘C. What would the pressure be if the container was heated to 91 ∘C?

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Answer:

[tex]P_2=2.60atm[/tex]

Explanation:

Hello!

In this case, since the temperature and pressure are related via a directly proportional relationship, via the Gay-Lussac's law we can write:

[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]

Thus, since the initial temperature in kelvins is 294.15 K and the final temperature in kelvins is 364.15 K, we can compute the final pressure as shown below:

[tex]P_2=\frac{P_1T_2}{T_1} =\frac{2.10atm*364.15K}{294.15K}\\\\P_2=2.60atm[/tex]

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