Answer:
33.6 L
Explanation:
From the question given above, the following data were obtained from:
Initial volume (V1) = 8.40 L L
Initial pressure (P1) = P
Initial temperature (T1) = T
Final pressure (P2) = one-half the original pressure = ½P
Final temperature (T2) = double the original temperature = 2T
Final volume (V2) =.?
Thus, the new volume of the gas can be obtained as follow:
P1V1/ T1 = P2V2 /T2
P × 8.40 / T = ½P × V2 /2T
P × 8.40 / T = P × V2 / 4T
Cross multiply
T × P × V2 = P × 8.40 × 4T
Divide both side by T × P
V2 = (P × 8.40 × 4T) /T × P
V2 = 8.40 × 4
V2 = 33.6 L
Thus, the new volume of the gas is 33.6 L
The pressure of 8.40 L of nitrogen gas in a flexible container is decreased to one-half its original pressure, the new volume is 33.6 L.
Pressure is the force exerted in the perpendicular direction by any object.
By the Boyle's Law
\rm P_1V_1= P_1V_2
[tex]\rm \dfrac{P_1 \times 8.40}{T_1} = \dfrac{P_1V_2}{T_2} \\\\\dfrac{P \times 8.40}{T} = \dfrac{P \times V_2}{4T} \\\\T\times P \times V_2 = P \times 8.40 \times 4T\\\\V2 = 8.40 \times 4= 33.6 L\\[/tex]
Thus, the pressure of 8.40 L of nitrogen gas in a flexible container is decreased to one-half its original pressure, the new volume is 33.6 L.
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