Chapter 3: Q38E (page 612)

Perfectly rigid containers each hold n moles of ideal gas, one is being hydrogen (H₂) and the other being neon (Ne). If it takes 300 J of heat to increase the temperature of the hydrogen by 2.50°C, by how many degrees will the same amount of heat raise the temperature of the neon?

Short Answer

Expert verified

The temperature of N_eraised by $4.17 C °$ due to 300J of the heat, and same amount of heat 300J raised the temperature of H₂ by $2.5 C °$

Step by step solution

Data, Assumption and Equation

Given data;

Heat of the hydrogen Q = 300 J

Temperature difference of hydrogen $∆ T = 2.5 ° C = 2.5 K$

Gas constant R = 3.14J/mol K

Assumption;

The number of moles of hydrogen and neon are same

Equation;

Formula of heat for hydrogen

$Q = n \times \frac{5}{2} R ∆ T$ .......... (1)

Formula of heat for neon

$Q = n \times \frac{3}{2} R ∆ T$ .......... (2)

Find the number of moles

From equation (1)

$\begin{aligned} n = \frac{Q}{\frac{5}{2} RΔT} \\ = \frac{300 J}{\frac{5}{2} \times 8.314 J / molK \times 2.5 K} \\ = 5.77 mol \end{aligned}$

Find temperature of neon gas

From equation (2)

$\begin{aligned} Δ T = \frac{Q}{n \times \frac{3}{2} R} \\ = \frac{300 J}{5.77 mol \times \frac{3}{2} \times 8.314 J / molK} \\ = 4.17 K \\ = 4.17 C^{\circ} \end{aligned}$

Hence, the temperature of N_eraised by $4.17 C °$ due to 300J of the heat, and same amount of heat 300J raised the temperature of H₂ by $2.5 C °$

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Perfectly rigid containers each hold n moles of ideal gas, one is being hydrogen (H₂) and the other being neon (Ne). If it takes 300 J of heat to increase the temperature of the hydrogen by 2.50°C, by how many degrees will the same amount of heat raise the temperature of the neon?

Short Answer

Step by step solution

Data, Assumption and Equation

Find the number of moles

Find temperature of neon gas

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Perfectly rigid containers each hold n moles of ideal gas, one is being hydrogen (H2) and the other being neon (Ne). If it takes 300 J of heat to increase the temperature of the hydrogen by 2.50°C, by how many degrees will the same amount of heat raise the temperature of the neon?

Short Answer

Step by step solution

Data, Assumption and Equation

Find the number of moles

Find temperature of neon gas

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Turning Points in Physics

Scientific Method Physics

Force

Fields in Physics

Space Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

Perfectly rigid containers each hold n moles of ideal gas, one is being hydrogen (H₂) and the other being neon (Ne). If it takes 300 J of heat to increase the temperature of the hydrogen by 2.50°C, by how many degrees will the same amount of heat raise the temperature of the neon?