CChapter Five Homework For Practice 5.2-Enhanced-with Feedback Constants 1 Perio

Question

CChapter Five Homework For Practice 5.2-Enhanced-with Feedback Constants 1 Periodis Table PartA A snorkeler takes a syringe Siled with 22 mL of air from the surface, where the pressure is 1.0 atm, to an unknown depth. The volume of the air in the syringe at this depth is 8.0 mL If the pressure increases by an additional 1 atm for every 10 m of depth, how deep is the snorkeler? Express the depth to two significant figures and include the appropriate units. You may want to reference (Pages 202 208) Section 5.3 while completing this probiem depthValue Submit Previous Ansners Reavest Answer x Incorrect: Try Again; 5 attempts remaining ure is incremental with respect to every 10 m, which should be sot up as a conversior muitiply the difference of pressure conversion factor such that the units of pressure cancel and only the unts of distance remain in the numerator The change in pressure incremental The depth can be calculated by first finding the diference in pressure. Then,

Explanation / Answer

Given information from the question

Pressure (P1) = 1 atm, Volume(V1=22 mL)

Pressure (P2) = ?, Volume(V2=8 mL)

According to Boyle's Law Volume of an ideal gas is Inversely proportional to absolute pressure at constant temperature, or product of Pressure and volume is constant for fixed mass of ideal gas at fixed temperature.

PV=constant

Formula to apply

P1V1 = P2V2

(1.0 atm).(22 mL) = P2 (8 mL)

P2 = 2.75 atm

When the syringe is filled completely with air the pressure at the surface was given = 1.0 atm. That means when there was no pressure applied on the air present in the syringe it is equal to the atmospheric pressure. Now the pressure applied on the syringe filled with air {P2 = 2.75 atm; net pressure applied is [2.75 atm (at depth)-1.0 atm (at surface)] = 1.75 atm}.

Also given that for every 10 meters we move downwards from the surface of syringe there was an additional increase in pressure by 1.0 atm.

Now for 1 atm additional increase in pressure = depth 10 meters

for 1.75 atm additional increase in pressure = depth ?

depth = 17.5 meters

Depth has three significant figures after full stop if the digits are 1,2,3,4 "round off" (round down), if the digits are 5,6,7,8, 9 "round up"

we represent the depth in two significant figures as 18 meters Or 18 m

(Note: Additional increase in pressure is pressure excluding the surface pressure)

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