Q51P When聽1.0鈥塵ol聽of oxygen (O2) ... [FREE SOLUTION]

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Chapter 19: Q51P (page 580)

When $1.0 鈥� m o l$ of oxygen ( $O_{2}$ ) gas is heated at constant pressure starting at, $0 掳 C$ how much energy must be added to the gas as heat to double its volume? (The molecules rotate but do not oscillate.)

Short Answer

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Step by step solution

Given data

Number of moles of gas is $n = 1.0$

Temperature;

$\begin{matrix} T_{i} = 0 掳 C \\ = 273 鈥块 \end{matrix}$

Understanding the concept

The expression for the amount of energy transferred to the gas is given by,

$Q = n C_{P} 螖 T$

Here Q is the amount of energy transferred to gas, n is the number of moles, $C_{P}$ is the specific heat capacity at constant pressure and $螖 T$ is the temperature difference.

Calculate the amount of energy that must be added to the gas as heat to double its volume

The equation;

$Q = n C_{P} 螖 T$

But, for diatomic gas $, C_{P} = \frac{7}{2} R$

Substitute $\frac{7}{2} R$ for $C_{P}$

$Q = \frac{7}{2} n R 螖 T$ ....... (i)

At constant pressure, Boyle鈥檚 law gives,

$T 鈭� V 鈭� \frac{T_{f}}{T_{i}} = \frac{V_{f}}{V_{i}} T_{f} = 2 T_{i} \begin{matrix} 螖 T = T_{f} 鈭� T_{i} \\ = 2 T_{i} 鈭� T_{i} \\ = T_{i} \end{matrix}$

Substitute $1 鈥� m o l$ for n, $8.3145 鈥� J / m o l 鈥� 鈰� K$ for R and $273 鈥� K$ for $螖 T$ into the equation (i)

$\begin{matrix} Q = \frac{7}{2} (1) (8.3145) (273) \\ = 7.945 脳 10^{3} J \\ 鈮� 8.0 脳 10^{3} J \end{matrix}$

Therefore, the amount of energy that must be added to the gas as heat to double its volume is $8.0 脳 10^{3} J .$

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91影视

When $1.0 鈥� m o l$ of oxygen ( $O_{2}$ ) gas is heated at constant pressure starting at, $0 掳 C$ how much energy must be added to the gas as heat to double its volume? (The molecules rotate but do not oscillate.)

Short Answer

Step by step solution

Given data

Understanding the concept

Calculate the amount of energy that must be added to the gas as heat to double its volume

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Most popular questions from this chapter

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Nuclear Physics

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91影视

When1.0鈥�molof oxygen (O2) gas is heated at constant pressure starting at,0掳C how much energy must be added to the gas as heat to double its volume? (The molecules rotate but do not oscillate.)

Short Answer

Step by step solution

Given data

Understanding the concept

Calculate the amount of energy that must be added to the gas as heat to double its volume

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Nuclear Physics

Famous Physicists

Fields in Physics

Force

Scientific Method Physics

Energy Physics

Study anywhere. Anytime. Across all devices.

When $1.0 鈥� m o l$ of oxygen ( $O_{2}$ ) gas is heated at constant pressure starting at, $0 掳 C$ how much energy must be added to the gas as heat to double its volume? (The molecules rotate but do not oscillate.)