The volume of a sample of hydrogen gas was decreased from 14.65 L to 7.94 L at constant temperature. If the final pressure exerted by the hydrogen gas sample was 5.02 atm, what pressure did the hydrogen gas exert before its volume was decreased?

Respuesta :

Answer:

The pressure the hydrogen gas exerted before its volume was decreased is 2.7207 atm.

Explanation:

Using Boyle's law

[tex] {P_1}\times {V_1}={P_2}\times {V_2}[/tex]

Given ,  

V₁ = 14.65 L

V₂ = 7.94 L

P₁ = ?

P₂ = 5.02 atm

Using above equation as:

[tex]{P_1}\times {V_1}={P_2}\times {V_2}[/tex]

[tex]{P_1}\times {14.65}={5.02}\times {7.94}\ atm[/tex]

[tex]{P_1}=\frac {{5.02}\times {7.94}}{14.65}\ atm[/tex]

[tex]{P_1}=2.7207\ atm[/tex]

The pressure the hydrogen gas exerted before its volume was decreased is 2.7207 atm.