Gas in the amount of 3 moles is in the cylinder at a temperature of 227 ° C and a pressure of 1 MPa.

Gas in the amount of 3 moles is in the cylinder at a temperature of 227 ° C and a pressure of 1 MPa. What is the volume of the balloon?

Initial data: ν (number of moles of gas) = 3 mol; Т (absolute temperature of the gas in the cylinder) = 227 ºС + 273 К = 500 К; P (gas pressure in the cylinder) = 1 MPa = 10 ^ 6 Pa.

Constants: R (universal gas constant) = 8.31 J / (mol * K)).

The volume of the balloon can be determined from the Mendeleev-Clapeyron equation:

P * V = ν * R * T and V = ν * R * T / P.

Let’s make a calculation:

V = 3 * 8.31 * 500/10 ^ 6 = 0.012465 m ^ 3 or 12.465 l.

Answer: The volume of the cylinder is 12.465 liters (0.012465 m ^ 3).