A cylinder of volume 0.270 m³ contains 10.1 mol of neon gas at 17.7°C. Assume neon behaves as an ideal gas. (a) What is the pressure of the gas? Pa (b) Find the internal energy of the gas. (c) Suppose the gas expands at constant pressure to a volume of 1.000 m³. How much work is done on the gas?

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### Ideal Gas Problem Set

A cylinder of volume 0.270 m³ contains 10.1 mol of neon gas at 17.7°C. Assume neon behaves as an ideal gas.

#### Questions:

(a) **What is the pressure of the gas?**  
\[ \text{Pressure} \] Pa

(b) **Find the internal energy of the gas.**  
\[ \text{Internal Energy} \] J

(c) **Suppose the gas expands at constant pressure to a volume of 1.000 m³. How much work is done on the gas?**  
\[ \text{Work Done} \] J

(d) **What is the temperature of the gas at the new volume?**  
\[ \text{Temperature} \] K

(e) **Find the internal energy of the gas when its volume is 1.000 m³.**  
\[ \text{Internal Energy (New Volume)} \] J

(f) **Compute the change in the internal energy during the expansion.**  
\[ \Delta U \] J

(g) **Compute \(\Delta U - W\).**  
\[ \Delta U - W \] J

(h) **Must thermal energy be transferred to the gas during the constant pressure expansion or be taken away?**  
\[ \text{Explain Here} \]

---

This set of questions requires applying the ideal gas law and principles of thermodynamics to solve problems related to gas behavior under constant conditions.
Transcribed Image Text:### Ideal Gas Problem Set A cylinder of volume 0.270 m³ contains 10.1 mol of neon gas at 17.7°C. Assume neon behaves as an ideal gas. #### Questions: (a) **What is the pressure of the gas?** \[ \text{Pressure} \] Pa (b) **Find the internal energy of the gas.** \[ \text{Internal Energy} \] J (c) **Suppose the gas expands at constant pressure to a volume of 1.000 m³. How much work is done on the gas?** \[ \text{Work Done} \] J (d) **What is the temperature of the gas at the new volume?** \[ \text{Temperature} \] K (e) **Find the internal energy of the gas when its volume is 1.000 m³.** \[ \text{Internal Energy (New Volume)} \] J (f) **Compute the change in the internal energy during the expansion.** \[ \Delta U \] J (g) **Compute \(\Delta U - W\).** \[ \Delta U - W \] J (h) **Must thermal energy be transferred to the gas during the constant pressure expansion or be taken away?** \[ \text{Explain Here} \] --- This set of questions requires applying the ideal gas law and principles of thermodynamics to solve problems related to gas behavior under constant conditions.
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