A sample of nitrogen gas in a 1.75 L container exerts a pressure of 1.35 atm at 25^∘ C. What is

Name: Problem 52, Chapter 5: Chemistry A Molecular Approach
Uploaded: 2020-07-14T19:23:50-08:00
Duration: 1 min 58 s
Channel: Dalton Hilovsky
Description: A sample of nitrogen gas in a 1.75 L container exerts a pressure of 1.35 atm at 25^∘ C. What is the pressure if the volume of the container is maintained constant and the temperature is raised to 355^∘ C ?

step 1 All right, so in this question, we are determining the pressure of a simple of nitrogen if the t

Question

A sample of nitrogen gas in a $1.75 \mathrm{~L}$ container exerts a pressure of $1.35$ atm at $25^{\circ} \mathrm{C}$. What is the pressure if the volume of the container is maintained constant and the temperature is raised to $355^{\circ} \mathrm{C} ?$

   A sample of nitrogen gas in a $1.75 \mathrm{~L}$ container exerts a pressure of $1.35$ atm at $25^{\circ} \mathrm{C}$. What is the pressure if the volume of the container is maintained constant and the temperature is raised to $355^{\circ} \mathrm{C} ?$

Chemistry A Molecular Approach

Nivaldo J. Tro 3rd Edition

Chapter 5, Problem 52

Instant Answer

Solved by Expert Dalton Hilovsky

07/14/2020

Step 1

We are given the initial volume (V1) of the container as 1.75 L, the initial pressure (P1) as 1.35 atm, and the initial temperature (T1) as 25°C. We need to find the final pressure (P2) when the temperature is raised to 355°C (T2) and the volume is kept constant. Show more…

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A sample of nitrogen gas in a $1.75 \mathrm{~L}$ container exerts a pressure of $1.35$ atm at $25^{\circ} \mathrm{C}$. What is the pressure if the volume of the container is maintained constant and the temperature is raised to $355^{\circ} \mathrm{C} ?$

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Key Concepts

Gay-Lussac's Law

This law states that for a fixed amount of gas kept at a constant volume, the pressure is directly proportional to its absolute temperature. It explains that if the temperature increases, the pressure increases proportionally when volume remains unchanged.

Temperature Conversion (Celsius to Kelvin)

In gas law calculations, temperature must be expressed in Kelvin to ensure that the proportional relationships hold. Converting Celsius to Kelvin involves adding 273.15 to the Celsius temperature to obtain the absolute temperature needed for accurate calculations.

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental relation that links pressure, volume, number of moles, and temperature of a gas. Although not directly used when volume is constant, understanding this law is crucial since it underpins the specific relationships such as the direct proportionality between pressure and temperature at constant volume.

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