On a deep sea dive to see an ancient ship wreck a diver takes a 0.75 L breath of

Question

On a deep sea dive to see an ancient ship wreck a diver takes a 0.75 L breath of air from their tank at a pressure of 3.88 atm. focusing on the cannons on the deck below, the diver doesn't see an approaching squid. 1 he squid brushes against the diver's arm, startling them into holding their breath and ascending to a pressure of 3.52 atm. What is the new volume of the diver's held breath? A 124 ml. bubble of hot gas is emitted from an active volcano at 212 degree C and 1.80 atm. What is the final temperature, in Celsius, of the gas in the bubble outside the volcano if the final volume of the bubble is 138 ml. and the final pressure is 0.80 atm?

Explanation / Answer

1.) P1=3.88atm

P1=3.52atm

V1= 0.75L= 750ml

V1=?

According to Boyle's Law: P1V1=P2V2

V1=3.88×750/3.52=826.7ml

2.) P1=1.80atm ; P2=0.80atm

V1= 125ml ; V2 = 138 ml

T1=212=273+212= 485K ; T2= ?

Ideal gas equation:

P1V1/T1 = P2V2/ T2

T2 = 0.80×138×485/ 1.80×125

T2 = 237.97K = -35.03

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