At what pressure does a mole of ideal gas have a temperature of 170 ° C, the volume of gas is 1 liter.

Problem data: ν (amount of substance) = 1 mol; T (required temperature) = 170 ºС (absolute temperature T = 443 K); V (ideal gas volume) = 1 l (in SI system V = 1 * 10 ^ -3 m3).

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

To calculate the desired ideal gas pressure, we apply the ideal gas equation of state: P * V = m / M * R * T = ν * R * T and P = ν * R * T / V.

Calculation: P = 1 * 8.31 * 443 / (1 * 10 ^ -3) = 3681.33 * 10 ^ 3 Pa ≈ 3.7 MPa.