Calculating Initial Pressures in Rigid and Piston Containers with Monatomic Gas

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The discussion revolves around calculating the initial pressures in two containers holding monatomic gas at 20°C, with one container being rigid and the other having a movable piston. The initial pressure in container B was calculated using the formula that includes the weight of the piston and atmospheric pressure. A participant initially struggled with the calculation but received guidance on ensuring proper unit conversion for weight. After recalculating with the correct units, the participant successfully found the answer in Pascals. The conversation highlights the importance of unit consistency in pressure calculations.
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Two 800\; cm^3 containers hold identical amounts of a monatomic gas at 20^\circ C. Container A is rigid. Container B has a 100\; cm^2 piston with a mass of 10 kg that can slide up and down vertically without friction. Both containers are placed on identical heaters and heated for equal amounts of time.
What are the initial pressures in containers A and B?

I assumed that the net force was zero and used the equation
pressureB = [(weight of piston)/(area of piston)]+101,300

and I assumed that the pressure of the first piston was 101,300 Pa

but this was wrong, I'm not sure what else to do??
 
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Have you checked the units for (weight of piston) ?
Show us your calculation.
 
p = (w/A) + p(atmosphere)

p = (98/.01) + 101,300

the answer is in Pascals
 
ok...I got the answer...thanks :)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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