A sample of air occupies 4.40 L when the pressure is 2.60 atm.

(a) What volume does the sample occupy at 6.20 atm at the same temperature?

L

(b) What pressure is required in order to compress it to 0.0290 L at the same temperature?

atm

Respuesta :

Explanation:

Given that,

Initial volume, V₁ = 4.40 L

Initial pressure, P₁ = 2.6 atm

(a) Final pressure, P₂ = 6.2 atm

As per the relation,

[tex]P_1V_1=P_2V_2\\\\V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{2.6\times 4.4}{6.2}\\\\V_2=1.84\ L[/tex]

(b) Again using the above relation,

[tex]P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{2.6\times 4.4}{0.0290 }\\\\P_2=394.48\ atm[/tex]

Hence, this is the required ssolution.