The two vessels contain the same amount of the same gas. In the first vessel, the pressure is 400 kPa, the temperature is T

The two vessels contain the same amount of the same gas. In the first vessel, the pressure is 400 kPa, the temperature is T, in the second, the pressure is 600 kPa, the temperature is 3 * T. What is the ratio of the volumes of blood vessels.

Let’s write down the Mendeleev Clapeyron equation and express the volume.

P * V = n * R * T.

V = (n * R * T) / P.

Let’s compose the ratio of gas volumes and simplify the expression, taking into account that the amount of gases is the same.

V2 / V1 = ((n * R * T2) / P2) / ((n * R * T1) / P1) = (T2 * P1) / T1 * P2).

Let’s substitute the initial data into the obtained ratio (it is not necessary to convert kPa to Pa, since everything will be reduced in the future).

V2 / V1 = (3 * T * 400) / T * 600) = 2.

Answer: V2 / V1 = 2.