Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
2Po The figure below shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that p = V = 2Vo, Po = 1.36 x 105 Pa, and Vo = 0.0230 m³. V, Þ Vo, Po « Volume (a) Calculate the work done during the cycle. (b) Calculate the energy added during stroke abc. (c) Calculate the efficiency of the cycle. % (d) What is the efficiency of an ideal engine operating between the highest and lowest temperatures that occur in the cycle? (Note whether this is greater than or less than the efficiency calculated in (c).) % Pressure

2Po The figure below shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that p = V = 2Vo, Po = 1.36 x 105 Pa, and Vo = 0.0230 m³. V, Þ Vo, Po « Volume (a) Calculate the work done during the cycle. (b) Calculate the energy added during stroke abc. (c) Calculate the efficiency of the cycle. % (d) What is the efficiency of an ideal engine operating between the highest and lowest temperatures that occur in the cycle? (Note whether this is greater than or less than the efficiency calculated in (c).) % Pressure

Question

Please show work and use the right units. 

The figure below shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that \( p = 2p_0 \), \( V = 2V_0 \), \( p_0 = 1.36 \times 10^5 \) Pa, and \( V_0 = 0.0230 \, \text{m}^3 \). ### Diagram Explanation The graph displays a pressure-volume (P-V) diagram representing the reversible cycle of the gas. The cycle consists of four processes forming a rectangle in the P-V plane: - **Process \( ab \):** Isovolumetric (constant volume) where pressure increases from \( p_0 \) to \( p \). - **Process \( bc \):** Isobaric (constant pressure) where volume increases from \( V_0 \) to \( V \). - **Process \( cd \):** Isovolumetric where pressure decreases from \( p \) to \( p_0 \). - **Process \( da \):** Isobaric where volume decreases from \( V \) to \( V_0 \). The arrows on the rectangle indicate the direction of the cycle: clockwise, suggesting work is done by the system. ### Exercises (a) **Calculate the work done during the cycle.** - Answer field: \(\_\_\_\_\_\_ \, \text{J}\) (b) **Calculate the energy added during stroke \( abc \).** - Answer field: \(\_\_\_\_\_\_ \, \text{J}\) (c) **Calculate the efficiency of the cycle.** - Answer field: \(\_\_\_\_\_\_ \, \%\) (d) **What is the efficiency of an ideal engine operating between the highest and lowest temperatures that occur in the cycle?** (Note whether this is greater than or less than the efficiency calculated in (c).) - Answer field: \(\_\_\_\_\_\_ \, \%\)
Transcribed Image Text:The figure below shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that \( p = 2p_0 \), \( V = 2V_0 \), \( p_0 = 1.36 \times 10^5 \) Pa, and \( V_0 = 0.0230 \, \text{m}^3 \). ### Diagram Explanation The graph displays a pressure-volume (P-V) diagram representing the reversible cycle of the gas. The cycle consists of four processes forming a rectangle in the P-V plane: - **Process \( ab \):** Isovolumetric (constant volume) where pressure increases from \( p_0 \) to \( p \). - **Process \( bc \):** Isobaric (constant pressure) where volume increases from \( V_0 \) to \( V \). - **Process \( cd \):** Isovolumetric where pressure decreases from \( p \) to \( p_0 \). - **Process \( da \):** Isobaric where volume decreases from \( V \) to \( V_0 \). The arrows on the rectangle indicate the direction of the cycle: clockwise, suggesting work is done by the system. ### Exercises (a) **Calculate the work done during the cycle.** - Answer field: \(\_\_\_\_\_\_ \, \text{J}\) (b) **Calculate the energy added during stroke \( abc \).** - Answer field: \(\_\_\_\_\_\_ \, \text{J}\) (c) **Calculate the efficiency of the cycle.** - Answer field: \(\_\_\_\_\_\_ \, \%\) (d) **What is the efficiency of an ideal engine operating between the highest and lowest temperatures that occur in the cycle?** (Note whether this is greater than or less than the efficiency calculated in (c).) - Answer field: \(\_\_\_\_\_\_ \, \%\)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer