Question

An idcal gas is contained in a cylinder with a volume of $5.0 \times$ $10^{2} \mathrm{~mL}$ at a temperature of $30 .{ }^{\circ} \mathrm{C}$ and a pressure of $710 .$ torr. The gas is then compressed to a volume of $25 \mathrm{~mL}$, and the temperature is raised to $820 .{ }^{\circ} \mathrm{C}$. What is the new pressure of the gas?

Name: Problem 47, Chapter 5: Chemistry
Uploaded: 2023-03-11T11:04:59-08:00
Duration: 3 min 31 s
Channel: Shalini Tyagi
Description: An idcal gas is contained in a cylinder with a volume of 5.0 ×10^2 mL at a temperature of 30 . ^∘ C and a pressure of 710 . torr. The gas is then compressed to a volume of 25 mL, and the temperature is raised to 820 . ^∘ C. What is the new pressure of the gas?

   An idcal gas is contained in a cylinder with a volume of $5.0 \times$ $10^{2} \mathrm{~mL}$ at a temperature of $30 .{ }^{\circ} \mathrm{C}$ and a pressure of $710 .$ torr. The gas is then compressed to a volume of $25 \mathrm{~mL}$, and the temperature is raised to $820 .{ }^{\circ} \mathrm{C}$. What is the new pressure of the gas?

Chemistry

Steven S. Zumdahl,… 7th Edition

Chapter 5, Problem 47

Instant Answer

Solved by Expert Shalini Tyagi

03/11/2023

Step 1

We do this by adding 273 to the Celsius temperature. So, the initial temperature T1 in Kelvin is $30 + 273 = 303$ K and the final temperature T2 in Kelvin is $820 + 273 = 1093$ K. Show more…

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An idcal gas is contained in a cylinder with a volume of $5.0 \times$ $10^{2} \mathrm{~mL}$ at a temperature of $30 .{ }^{\circ} \mathrm{C}$ and a pressure of $710 .$ torr. The gas is then compressed to a volume of $25 \mathrm{~mL}$, and the temperature is raised to $820 .{ }^{\circ} \mathrm{C}$. What is the new pressure of the gas?

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Key Concepts

Combined Gas Law

The combined gas law relates the pressure, volume, and temperature of a fixed amount of an ideal gas by the equation (P1 × V1) / T1 = (P2 × V2) / T2. This principle allows one to solve for an unknown variable when the state of a gas changes, assuming the number of gas molecules remains constant.

Unit Conversion

Unit conversion is essential in gas law calculations to maintain consistency among the variables. Common conversions include converting temperatures from Celsius to Kelvin, converting volumes to a common unit, and expressing pressure in consistent units such as torr, atmospheres, or pascals before applying the relevant gas law equations.

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