Question

Assume that the volume and the amount of gas are constant in the following problems. Helium gas in a 2.00-L cylinder is under 1.12 atm pressure. At $36.5^{\circ} \mathrm{C}$ , that same gas sample has a pressure of 2.56 atm. What was the initial temperature of the gas in the cylinder?

Name: Problem 9, Chapter 13: Chemistry Matter and Change
Uploaded: 2020-01-31T23:17:42-08:00
Duration: 1 min 2 s
Channel: Anna Miller
Description: Assume that the volume and the amount of gas are constant in the following problems. Helium gas in a 2.00-L cylinder is under 1.12 atm pressure. At 36.5^∘ C , that same gas sample has a pressure of 2.56 atm. What was the initial temperature of the gas in the cylinder?

   Assume that the volume and the amount of gas are constant in the following problems.
Helium gas in a 2.00-L cylinder is under 1.12 atm pressure. At $36.5^{\circ} \mathrm{C}$ , that same gas sample has a pressure of 2.56 atm. What was the initial temperature of the gas in the cylinder?

Chemistry Matter and Change

Thandi Buthelezi,… 1st Edition

Chapter 13, Problem 9

Instant Answer

Solved by Expert Anna Miller

01/31/2020

Step 1

Step 1: We start by using the formula for the relationship between pressure and temperature in a gas, which is given by the equation $P_1/T_1 = P_2/T_2$, where $P_1$ and $T_1$ are the initial pressure and temperature, and $P_2$ and $T_2$ are the final pressure and Show more…

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Assume that the volume and the amount of gas are constant in the following problems. Helium gas in a 2.00-L cylinder is under 1.12 atm pressure. At $36.5^{\circ} \mathrm{C}$ , that same gas sample has a pressure of 2.56 atm. What was the initial temperature of the gas in the cylinder?

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Key Concepts

Gay-Lussac's Law

This law states that for a fixed amount of gas kept at constant volume, the pressure is directly proportional to its absolute temperature. It allows you to set up relationships between pressure and temperature at different conditions, making it possible to calculate unknown variables if the others are known.

Temperature Conversion to Kelvin

In gas law calculations, temperatures must be expressed in Kelvin because the Kelvin scale is an absolute temperature scale. Converting from Celsius to Kelvin is performed by adding 273.15 to the Celsius temperature, ensuring the proportional relationship in gas equations remains valid.

Direct Proportionality in Gas Laws

Under the assumptions of constant volume and amount of substance, the pressure of a gas changes in direct proportion to its absolute temperature. This concept is fundamental in relating pressure changes due to temperature variations as described by Gay-Lussac's Law.

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