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Chapter 8: Q. 494 (page 1020)

Boyle鈥檚 Law states that if the temperature of a gas stays constant, then the pressure varies inversely to the volume of the gas. Braydon, a scuba diver, has a tank that holds 6 liters of air under a pressure of 220 psi.

鈸� Write the equation that relates pressure to volume.

鈸� If the pressure increases to 330 psi, how much air can Braydon鈥檚 tank hold?

Short Answer

Expert verified

(a) The equation that relates pressure to volume is p=tv.

(b) Braydon's tank can hold localid="1647959681910" 4liters of air under a pressure of 330psi.

Step by step solution

01

Part (a) Step 1. Given Information.    

We are given Boyle鈥檚 Law which states that at a constant temperature of a gas, the pressure varies inversely to the volume of the gas.

Braydon's tank holds 6liters of air.

Respective pressure is220psi.

02

Part (a) Step 2. Finding the equation.   

Boyle鈥檚 Law states that at a constant temperature of a gas, the pressure varies inversely to the volume of the gas.

Consider t=temperature.

v=volume.

p=pressure.

Use inverse variation formula to obtain the equation.

p=tv

Substitute p=220&v=6in the equation.

220=t6220脳6=tt=1320

Substitute Value of t in the equation.

p=1320v

03

Part (b) Step 1. Given Information.    

The given pressure is 330psi.

04

Part (b) Step 2. Finding the volume.

Substitute pressure p=330in the equation.

p=1320v330=1320vv=1320330v=4

So Braydon's tank can hold 4liters of air under a pressure of 330psi.

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