With a 1.5-fold increase in pressure, the gas volume decreased by 30 ml. Find the initial volume?

Task data: P2 (final pressure) = 1.5P1 (initial pressure); ΔV (volume reduction) = 30 ml; the process is considered isothermal.

To find the initial volume of taken gas, we will use the proportion: P1 * V1 = P2 * V2.

Substitute the value of the variables: P1 * V1 = 1.5P1 * (V1 – 30).

V1 = 1.5V1 – 45.

0.5V1 = 45 and V1 = 45 / 0.5 = 90 ml.

Answer: Initially, the target gas occupied a volume of 90 ml.



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