Question

Find the missing values in the table below using Boyle's Law. The units for pressure and volume can be any units, as long as they agree. Show all work.

p1 V1 P2 V2

a) 488 torr 531 mL 1.88 atm ?

b) ? 2.44 L 18.0 psi 1.35 gal

Answer 1

According to Boyle's Law, an inverse relationship exists between pressure and volume.

It can be expressed as follows:

P1V1 = P2V2

Where P1 and V1 are the initial pressure and volume values, and P2 and V2 are the values of the pressure and volume of the gas after change.

a)

P1 = 488 torr        V1= 531 mL           P2 = 1.88 atm            

Step-1 converts 1.88 atm to torr

To convert atm to the corresponding value in torr, just multiply the quantity in atm by 760.00

1.88   x 760.00 = 1428.8 torr

Now P2 = 1428.8 torr

Step2- Calculate V2

Plugging all the value in equation P1V1 = P2V2

488 torr x 531 mL     =    1428.8 torr x V2

V2 = 488 torr x 531 mL / 1428.8 torr

V2 = 181.36 ml

b)     P1=                 V1= 2.44 L             P2 = 18.0 psi         V2 = 1.35 gal

Step1- converts 1.35 gal to L

To convert gallons to liters, just multiply the value in gallons by the conversion factor 3.785411784.

So, 1.35 gallons = 3.785411784 x 1.35 = 5.1103059084 liters

Now V2 =5.11L

Plugging all the value in equation P1V1 = P2V2

P1 x 2.44 L = 18.0 psi x5.11L

So,

P1 = 18.0 psi x 5.11L/2.44L

P1 = 37.7psi