Question

Aerosol cans carry clear warnings against incineration because of the high pressures that can develop upon heating. Suppose that a can contains a residual amount of gas at a pressure of $755 \mathrm{mmHg}$ and a temperature of $25^{\circ} \mathrm{C}$. What would the pressure be if the can were heated to $1155^{\circ} \mathrm{C}$ ?

Name: Problem 51, Chapter 5: Chemistry A Molecular Approach
Uploaded: 2019-11-09T20:56:58-08:00
Duration: 48 s
Channel: Sisi Gao
Description: Aerosol cans carry clear warnings against incineration because of the high pressures that can develop upon heating. Suppose that a can contains a residual amount of gas at a pressure of 755 mmHg and a temperature of 25^∘ C. What would the pressure be if the can were heated to 1155^∘ C ?

   Aerosol cans carry clear warnings against incineration because of the high pressures that can develop upon heating. Suppose that a can contains a residual amount of gas at a pressure of $755 \mathrm{mmHg}$ and a temperature of $25^{\circ} \mathrm{C}$. What would the pressure be if the can were heated to $1155^{\circ} \mathrm{C}$ ?

Chemistry A Molecular Approach

Nivaldo J. Tro 3rd Edition

Chapter 5, Problem 51

Instant Answer

Solved by Expert Sisi Gao

11/09/2019

Step 1

$25^{\circ} \mathrm{C} = 25 + 273.15 = 298.15 \mathrm{K}$ $1155^{\circ} \mathrm{C} = 1155 + 273.15 = 1428.15 \mathrm{K}$ Show more…

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Aerosol cans carry clear warnings against incineration because of the high pressures that can develop upon heating. Suppose that a can contains a residual amount of gas at a pressure of $755 \mathrm{mmHg}$ and a temperature of $25^{\circ} \mathrm{C}$. What would the pressure be if the can were heated to $1155^{\circ} \mathrm{C}$ ?

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Key Concepts

Temperature Conversion to Kelvin

Temperature must be measured on an absolute scale (Kelvin) when using gas laws. Converting temperatures from Celsius to Kelvin ensures that calculations of pressure, volume, and temperature relationships are accurate and physically meaningful.

Ideal Gas Law

The Ideal Gas Law (PV = nRT) connects pressure, volume, temperature, and the number of moles of a gas. This principle is fundamental in understanding how gases behave under changing conditions and is applicable when analyzing how heating affects the pressure inside a container, particularly when the volume is held constant.

Direct Proportionality of Pressure and Temperature

When the volume and amount of gas remain constant, the pressure of a gas is directly proportional to its absolute temperature (in Kelvin). This relationship, often referred to as Gay-Lussac's Law, is crucial for predicting how pressure will increase when a gas is heated.

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