A container, with a fixed volume, filled with a fixed amount of an ideal gas has an original pressure of 2.00 atm at 30.0◦c. what is the pressure if the temperature is increased to 50.0◦c. express your answer in atmospheres.

Question

Physics

Lydia Fields

31 May, 10:17

A container, with a fixed volume, filled with a fixed amount of an ideal gas has an original pressure of 2.00 atm at 30.0◦c. what is the pressure if the temperature is increased to 50.0◦c. express your answer in atmospheres.

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Answers (1)

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Jordin Rivera · Answer 1

Since the volume doesn't change, and we assume that that

no heat is allowed to escape from the container, the pressure

of the gas will be directly proportional to its absolute temperature.

Absolute temperature = Celsius temperature + 273 K.

at 50°C, the absolute temperature is 323 K.

at 30°C, the absolute temperature is 303 K.

So, as the gas is warmed, the pressure will rise to (323/303)

of where it started.

(323/303) x (2.00 atm) = (1.066) x (2.00 atm) = 2.132 atm