Reverification of an answer Doc Al

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The discussion centers on a gas law problem involving helium gas, where the initial conditions are 450 ml at -14 degrees Celsius and 820 mmHg pressure. The user initially calculated the final volume as 426 ml after correcting their formula. Doc Al confirms that the revised calculation is correct, acknowledging a previous oversight in the user's approach. The interaction highlights the importance of proper variable placement in gas law equations. Overall, the user successfully verified their answer with guidance from Doc Al.
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2)450ml of helium gas has a temp of -14 degress celicus and a pressure of 820 mmHg. What volumne would the gas occupy if the temp. increases to 14 degrees celicus and the pressure increases to 960 mm Hg

my answer 426 ml
450(287K/259K)(820/960) is what i used

i think i got it right now Doc Al i had the items in the parenthes flopped
 
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That looks correct.
 
Yep, looks OK now. (Sorry I didn't see your post sooner. Thanks, turin.)
 
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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