Once more with feeling another ideal gas question.

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The discussion revolves around calculating the increase in pressure inside a sealed can when its temperature changes from -23°C to 27°C. The initial pressure is given as 0.8x10^5 N/m^2, and the calculations reveal a final pressure of 96,000 Pa, indicating an increase. Participants clarify that the relationship between pressure and temperature is directly proportional, emphasizing the need to correctly apply the ideal gas law. There is acknowledgment of a mistake in the initial calculations regarding the pressure change. Overall, the conclusion is that the pressure inside the can does indeed increase with temperature, aligning with the principles of gas behavior.
QueenFisher
[SOLVED] once more with feeling! another ideal gas question.

the pressure inside a sealed can which is kept in a deep freeze at -23C is 0.8x10^5 N/m^2. If the can is placed in water of temperature 27C:

calculate the increase in pressure inside the can.

initially, pressure/temperature = 0.8x10^5 / 273-23
=320
afterwards, pressure 2 divided by (273+27) must equal 320 also. this gives pressure 2 as 96000Pa
increase in pressure = 0.8x10^5 - 96000
= -16000
but if the temperature increases, surely the pressure has to increase? since they are directly proportional??
or have i taken them away the wrong way round?
 
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The pressure HAS increased. 96,000 is larger than 80,000 after all.
 
I think you need much more information to solve this. We have to find the finla temperature of the air in the can to solve the following.
 
Galileo said:
The pressure HAS increased. 96,000 is larger than 80,000 after all.

so i guess i was taking them away the wrong way around. man I'm stupid.
 
Or I think it has to be assumed that the temperature of the system becomes 300K when put in water nadwas 250K initially. Now use the same relation as you said - P1/T1 = P2/T2.
You have mistook the sign I would say. You made a silly mistake. Your problem solving is okay.
 
vaishakh said:
Or I think it has to be assumed that the temperature of the system becomes 300K when put in water nadwas 250K initially. Now use the same relation as you said - P1/T1 = P2/T2.
You have mistook the sign I would say. You made a silly mistake. Your problem solving is okay.

yeah that was the equation i was used, just in some weird convoluted form
 
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