Question

A steel cylinder has a pressure of 550 torr at 177 degrees Celsius. What will be the pressure if the temperature is decreased by 87 degrees Celsius?

Answer 1

`P_2=507.7torr`

Step-by-step explanation:

Hello there!

In this case, when we have a gas that is undergoing a change in both pressure and temperature, we utilize the Gay-Lussac's equation as shown below:

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

Thus, since we are given the initial pressure and temperature and the final temperature, we can compute the final pressure as shown below:

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

So we plug in, by making sure the temperatures are in kelvins, to obtain:

`P_2=(550torr)/((117+273)K)*(87+273)K\\\\P_2=507.7torr`

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