Chapter 18: Q. 54 (page 513)

The air temperature and pressure in a laboratory are 20 $°$ C and 1.0 atm. A 1.0 L container is open to the air. The container is then sealed and placed in a bath of boiling water. After reaching thermal equilibrium, the container is opened. How many moles of air escape?

Short Answer

Expert verified

$Δ n = 0.0113 mol$ is the number of moles of air that escaped from the container.

Step by step solution

Given information

The temperature is $T = 20 + 273 = 293 K$ $T = 20 + 273 = 293 K$

Pressure $P = 1 atm$

The thermal temperature of equilibrium $T_{2} = 100 + 273 = 373 K$

It's vital to remember that the number of moles doesn't change while they're immersed in boiling water. When the container is opened, the pressure equals $1 atm$

formula used:

Ideal gas law

$P V = n R T$

Calculation

Description

Steps

Step:1 The number moles calculating

n = \frac{P V}{R T} = \frac{latm (LL)}{293 K (0.082057 {LatmK}^{- 1} {mol}^{- 1})} n = 0.0415 mol P, V, R are constants \frac{n_{2}}{n_{1}} = \frac{T_{1}}{T_{2}} n_{2} = \frac{273}{373} (0.0415) n_{2} = 0.0528 mol

Step:2 Counting the number of moles who have gotten away

$Δ n = n_{2} - n_{1} = 0.0528 mol - 0.0415 mol Δ n = 0.0113 mol$

$Δ n = n_{2} - n_{1} = 0.0528 m o l - 0.0415 m o l Δ n = 0.0113 m o l$

$Δ n = 0.0113$ is the number of moles of air that escaped from the container.

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Temperature (°C)	Pressure gauge (atm)
100	6.52
150	7.80
200	8.83
250	9.59

The air temperature and pressure in a laboratory are 20 $°$ C and 1.0 atm. A 1.0 L container is open to the air. The container is then sealed and placed in a bath of boiling water. After reaching thermal equilibrium, the container is opened. How many moles of air escape?

Short Answer

Step by step solution

Given information

Calculation

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The air temperature and pressure in a laboratory are 20°C and 1.0 atm. A 1.0 L container is open to the air. The container is then sealed and placed in a bath of boiling water. After reaching thermal equilibrium, the container is opened. How many moles of air escape?

Short Answer

Step by step solution

Given information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Engineering Physics

Torque and Rotational Motion

Magnetism

Fluids

Geometrical and Physical Optics

Study anywhere. Anytime. Across all devices.

The air temperature and pressure in a laboratory are 20 $°$ C and 1.0 atm. A 1.0 L container is open to the air. The container is then sealed and placed in a bath of boiling water. After reaching thermal equilibrium, the container is opened. How many moles of air escape?