Answer:
The new volume of the sample is halved.
Step-by-step explanation:
Data obtained from the question include the following:
Initial volume (V1) = V
Initial temperature (T1) = T
Initial pressure (P1) = P
Final pressure (P2) = quadrupled = 4P
Final temperature (T2) = doubled = 2T
Final volume (V2) =?
Thus, we can obtain the new volume of the same by using the combined gas equation as shown below:
P1V1 /T1 = P2V2 /T2
P × V/T = 4P × V2/2T
Cross multiply
T × 4P × V2 = P × V × 2T
Divide both side by T × 4P
V2 = (P × V × 2T) / (T × 4P)
V2 = V/2
V2 = ½V
Therefore, the new volume of the sample is halved .