Question

An ideal gas mixture in a piston-cylinder assembly has a molar analysis of 30% carbon dioxide (CO2) and 70% nitrogen (N2). Cooling at constant pressure from 425 K to 325 K, with constant specific heats evaluated at 375 K, determine:

a) Heat transfer in kJ per kg of mixture.
b) Work in kJ per kg of mixture.

Answer 1

To calculate the heat transfer and work in a gas mixture, use specific heat capacity and the ideal gas law.

Step-by-step explanation:

To calculate the heat transfer in kJ per kg of the gas mixture, we can use the specific heat capacity at constant pressure (Cp).

The heat transfer can be calculated using the formula: Q = m * Cp * (T2 - T1), where Q is the heat transfer, m is the mass of the gas mixture, Cp is the specific heat capacity at constant pressure, and T2 and T1 are the final and initial temperatures, respectively.

To calculate the work in kJ per kg of the gas mixture, we can use the ideal gas law and the equation for work done in a constant pressure process.

The work can be calculated using the formula: W = m * R * (T2 - T1), where W is the work done, m is the mass of the gas mixture, R is the gas constant, and T2 and T1 are the final and initial temperatures, respectively.