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A gas in a sealed container has a pressure of 125 atm at a temperature of 303 K. If the pressure in the container is increased to 200 atm, what is the new temperature if the volume remains constant?

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A gas in a sealed container has a pressure of 125 atm at a temperature of 303 K. If-example-1

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2 votes

Answer:


T_2=484.8K

Step-by-step explanation:

Hello there!

In this case, according to the the variable temperature and pressure and constant volume, it turns out possible for us to calculate the new temperature via the Gay-Lussac's law as shown below:


(T_2)/(P_2) =(T_1)/(P_1)

Thus, by solving for the final temperature, T2, we obtain:


T_2 =(T_1P_2)/(P_1)

So we plug in the given data to obtain:


T_2 =(303K*200atm)/(125atm)\\\\T_2=484.8K

Best regards!

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