A canister with thin metal walls is immersed in water with temperature T. (See figure.) Initially the canister holds air at atmospheric Then, using the piston that forms the lid of the canister, you compress the air until it occupies half of its original volume. pressure. a) Assuming that the water maintains the air at temperature T throughout the process, what will be the final air pressure in the canister? air b) Sketch this process on a p-V diagram. Label the axes as completely as possible according to the given information. •

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A canister with thin metal walls is immersed
in water with temperature T. (See figure.)
Initially the canister holds air at atmospheric
pressure.
Then, using the piston that forms the lid of
the canister, you compress the air until it
occupies half of its original volume.
a) Assuming that the water maintains the air at
temperature T throughout the process, what
will be the final air pressure in the canister?
air
b) Sketch this process on a p-V diagram. Label
the axes as completely as possible according to
the given information.
Transcribed Image Text:A canister with thin metal walls is immersed in water with temperature T. (See figure.) Initially the canister holds air at atmospheric pressure. Then, using the piston that forms the lid of the canister, you compress the air until it occupies half of its original volume. a) Assuming that the water maintains the air at temperature T throughout the process, what will be the final air pressure in the canister? air b) Sketch this process on a p-V diagram. Label the axes as completely as possible according to the given information.
Expert Solution
Step 1

(a)

Consider gas inside canister is ideal,

Therefore by ideal gas equation-

PiVi=NkTandPFVF=NkTPiPFViVF=1PF=PiVFViAs said that compress the air until it occupies half of its original volume.VF=Vi2Hence the final pressure is given by-PF=Pi2

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