Chapter 3: Q24E (page 641)

Propane gas $C_{3} H_{8}$ behaves like an ideal gas with $γ = 1.127$ . Determine the molar heat capacity at constant volume and the molar heat capacity at constant pressure.

Short Answer

Expert verified

$C_{P} = 73.81 J / m o l . K C_{V} = 65.5 J / m o l . K$

Step by step solution

The equations involved

The relations between the molar heat capacities at constant volume and constant pressure are $C_{P} - C_{V} = R$ and $\frac{C_{P}}{C_{V}} = γ$ .

Use the two equations to find the heat capacities

$γ = 1.127$ Given that . We know that $C_{P} = C_{V} + R$ .

$\frac{C_{V} + R}{C_{V}} = γ 1 + \frac{R}{C_{V}} = γ C_{V} = \frac{R}{γ - 1} C_{V} = \frac{8.314}{1.127 - 1} C_{V} = 65.5 J / m o l . K$

Now, $C_{P} = γ C_{V} C_{P} = 1.127 \times 65.5 C_{P} = 73.81 J / m o l . K$

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Propane gas $C_{3} H_{8}$ behaves like an ideal gas with $γ = 1.127$ . Determine the molar heat capacity at constant volume and the molar heat capacity at constant pressure.

Short Answer

Step by step solution

The equations involved

Use the two equations to find the heat capacities

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Propane gas C3H8 behaves like an ideal gas with γ=1.127. Determine the molar heat capacity at constant volume and the molar heat capacity at constant pressure.

Short Answer

Step by step solution

The equations involved

Use the two equations to find the heat capacities

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Astrophysics

Measurements

Electromagnetism

Engineering Physics

Rotational Dynamics

Fluids

Study anywhere. Anytime. Across all devices.

Propane gas $C_{3} H_{8}$ behaves like an ideal gas with $γ = 1.127$ . Determine the molar heat capacity at constant volume and the molar heat capacity at constant pressure.