The new volume is 33.6 L.
<h3>
What is volume?</h3>
Volume can be described as a measure of occupied three-dimensional space.
From the question above, we obtain the following data:
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) = what?
The new volume can be obtained by using the universal gas law;
P1V1/ T1 = P2V2 /T2
P × 8.40 / T = ½P × V2 /2T
P × 8.40 / T = P × Volume 2 / 4T
Cross multiply
T × P × Volume 2 = P × 8.40 × 4T
Divide both side by T × P
Volume 2 = (P × 8.40 × 4T) /T × P
Volume 2 = 8.40 × 4
Volume 2 = 33.6 L
Thus, the new volume of the gas is 33.6 L.
Learn more about volume at: brainly.com/question/463363
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