1. The problem statement, all variables and given/known data Hot CO₂ gas enters a pipe at pressure P₁ and exits at atmospheric pressure (P₂ = 1 bar) and T₂ = 0°C. The pipe has a constant diameter D = 1 cm. The input temperature is T₁ = 100°C and the mass flow rate ṁ = 0.5 g/min. There is a significant change in mechanical energy due to friction with a loss factor of 2500 m²/s². Calculate the average flow velocities, input pressure and gas densities using the given data. V₁ = ? P₁ =? T₁ = 100°C ρ₁ =? V₂ = ? P₂ = 1 bar T₂ = 0°C ρ₂ = ? 2. Relevant equations 1. row2 = p2/RT2 2. V= m/(row2)A 3. Bernouliies eqn with loss. 3. The attempt at a solution I followed those three equations. The problem begins when when V1 comes out as a new negative number. That's not possible. FYI - flow is from 1 to 2. I'm not sure where I am missing a negative sign. I dont think it can be negative considering pressure and density values.