Solution Found!
An air-standard Otto cycle has a compression ratio of 6
Chapter 9, Problem 9.7(choose chapter or problem)
An air-standard Otto cycle has a compression ratio of 6 and the temperature and pressure at the beginning of the compression process are \(520^{\circ} \mathrm{R}\) and \(14.2 \mathrm{lbf} / \mathrm{in}^{2}{ }^{2}\), respectively. The heat addition per unit mass of air is 600 Btu/lb. Determine
(a) the maximum temperature, in \( {\circ} \mathrm{F}\).
(b) the maximum pressure, in \(\text { in lbf/in. }{ }^{2}\).
(c) the thermal efficiency.
(d) the mean effective pressure, in \(\text { in lbf/in. }{ }^{2}\)
Questions & Answers
QUESTION:
An air-standard Otto cycle has a compression ratio of 6 and the temperature and pressure at the beginning of the compression process are \(520^{\circ} \mathrm{R}\) and \(14.2 \mathrm{lbf} / \mathrm{in}^{2}{ }^{2}\), respectively. The heat addition per unit mass of air is 600 Btu/lb. Determine
(a) the maximum temperature, in \( {\circ} \mathrm{F}\).
(b) the maximum pressure, in \(\text { in lbf/in. }{ }^{2}\).
(c) the thermal efficiency.
(d) the mean effective pressure, in \(\text { in lbf/in. }{ }^{2}\)
ANSWER:Step 1 of 4
a) To solve this problem we will use the given temperatures and pressure to calculate the maximum temperature of the cycle . We will start with the calculation of the parameter . For the calculation we will need the given compression ratio and parameter determined from the ideal gas table.
From the ideal gas tables we can then interpolate the temperature and internal energy using the parameter
We can then use the given heat to calculate the internal energy . Work is equal to zero.
From the internal energy we can then evaluate temperature for the ideal gas tables.