A cylinder with a capacity of 39 liters contains 1.88 kg of carbon dioxide at 0 temperature when the temperature

A cylinder with a capacity of 39 liters contains 1.88 kg of carbon dioxide at 0 temperature when the temperature rises to 57 degrees, the cylinder burst at what pressure did the cylinder burst?

1.88 kg = 1880 g;

39 l = 0.039 m3;

57o C = 330 K;

Let’s find the amount of substance carbon dioxide:

n (CO2) = m (CO2) / M (CO2) = 1880/44 = 42.727 mol;

Let us find the gas pressure according to the Mendeleev-Clapeyron equation:

P = (n * R * T) / V = (42.727 * 8.314 * 330) / 0.039 = 3005831 Pa = W, 005831 MPa.

Answer: P = З, 00583 MPa.