With an increase in the absolute temperature of the ideal gas by 1.5 times, the gas volume increased by 0.1 liters.

With an increase in the absolute temperature of the ideal gas by 1.5 times, the gas volume increased by 0.1 liters. What is the initial volume of the gas (pressure and mass are constant)?

Task data: T2 (final absolute temperature) = 1.5T1; ΔV (increase in the volume of a given gas) = 0.1 l; pressure and mass are constant.

To find the initial volume of a given gas, we use the proportion: V1 / T1 = V2 / T2 and V1 / T1 = (V1 + ΔV) / T2.

Let’s substitute the known values into the proportion: V1 / T1 = (V1 + 0.1) / 1.5T1.

V1 = (V1 + 0.1) / 1.5.

1.5 V1 = V1 + 0.1.

0.5V1 = 0.1 and V1 = 0.1 / 0.5 = 0.2 liters.

Answer: The initial volume of the target gas was 0.2 liters.