After the cylinder in which there was air at a pressure of 1 MPa was connected to an empty cylinder-4L

After the cylinder in which there was air at a pressure of 1 MPa was connected to an empty cylinder-4L, a total pressure of 700 kPa was established in these two cylinders. Determine the volume of the first cylinder?

Data: P1 (air pressure in the original cylinder) = 1 MPa (1 * 106 Pa); V2 (empty cylinder volume) = 4 liters (in SI V2 = 4 * 10 ^ -3 m3); P2 (total cylinder pressure) = 700 kPa (700 * 10 ^ 3 Pa).

Since the air temperature will be a constant value, the volume of the original cylinder is determined from the equality: P1 * V1 = P2 * V1.2 = P2 * (V1 + V2).

1 * 10 ^ 6 * V1 = 700 * 10 ^ 3 * (V1 + 4 * 10 ^ -3).

10 ^ 6 * V1 = 700 * 10 ^ 3 * V1 + 2800.

300 * 10 ^ 3 * V1 = 2800.

V1 = 2800 / (300 * 10 ^ 3) = 9.33 * 10 ^ -3 m3 = 9.33 liters.