Question

At 20 Celsus the volume of hydrogen occupies 12.05L at 100.1kPa. What is the new volume if the pressure increases to 120.0kPa and the temperature remain constant

Answer 1

10.04L

Step-by-step explanation:

According to Boyle's law, volume is inversely proportional to pressure when the temperature is constant or in other words under a constant temperature when the pressure on a gas increases its volume decreases.

Formula:

`P_(1)` /
`P_(2)` =
`V_(1)` /
`V_(2)`

Given:

Initial pressure
`P_(1)`= 100.1kPa => 0.987 atm

Initial volume
`V_(1)`= 12.05L

Final pressure
`P_(2)`= 120.0kPa=> 1.184 atm

Temperature is constant

Required:

Final volume
`V_(2)`=? L

Solution:

Re arranging the formula,

`V_(2)`= (
`P_(1)`x
`V_(1)` )/
`P_(2)`

`V_(2)`= (0.987x12.05)/ 1.184

`V_(2)`= 10.04L

the new volume is 10.04 L

Answer 2

0.0987

Step-by-step explanation:

from boyles law, which state that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature. i.e

=
`V₂P₂=`P₁V₁

`V₂=P₁V₁/P₂`

FROM THE GIVEN PARAMETERS

P₁ (initial pressure)=1001.1kpa

P₂(final pressure)=120.0kpa

but 1kpa = 0.0987atm, converting to atm

P₂(final pressure)=1.184 atm

T=constant

V₁=12.05L

FROM THE BOYLE'S LAW FORMULAR

`V₂P₂=`P₁V₁

`V₂=P₁V₁/P₂`

=

V₂=0.987×12.05/1.184

=10.04L

V₂ = 10.04L