A gas is kept at a pressure of 4.00 atm and a temperature of 30.0^∘ C. When the pressure is redu

Name: Problem 3, Chapter 3: Physics for the IB Diploma
Uploaded: 2021-06-24T15:31:47-08:00
Duration: 1 min 31 s
Channel: Ankur S
Description: A gas is kept at a pressure of 4.00 atm and a temperature of 30.0^∘ C. When the pressure is reduced to 3.00 atm and the temperature raised to 40.0^∘ C, the volume is measured to be 0.45 L. What was the original volume of the gas?

step 1 So in this question, we have given a gas which is kept at pressure P1 equals to 4 .00 ATM and te

Question

A gas is kept at a pressure of 4.00 atm and a temperature of $30.0^{\circ} \mathrm{C}$. When the pressure is reduced to 3.00 atm and the temperature raised to $40.0^{\circ} \mathrm{C}$, the volume is measured to be 0.45 L. What was the original volume of the gas?

   A gas is kept at a pressure of 4.00 atm and a temperature of $30.0^{\circ} \mathrm{C}$. When the pressure is reduced to 3.00 atm and the temperature raised to $40.0^{\circ} \mathrm{C}$, the volume is measured to be 0.45 L. What was the original volume of the gas?

Physics for the IB Diploma

K. A. Tsokos 5th Edition

Chapter 3, Problem 3

Instant Answer

Solved by Expert Ankur S

06/24/2021

Step 1

00$ atm and an initial temperature $T_1 = 30.0^{\circ} \mathrm{C} = 303$ K. The final pressure is $P_2 = 3.00$ atm and the final temperature is $T_2 = 40.0^{\circ} \mathrm{C} = 313$ K. The final volume is $V_2 = 0.45$ L. We are asked to find the initial volume Show more…

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A gas is kept at a pressure of 4.00 atm and a temperature of $30.0^{\circ} \mathrm{C}$. When the pressure is reduced to 3.00 atm and the temperature raised to $40.0^{\circ} \mathrm{C}$, the volume is measured to be 0.45 L. What was the original volume 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 gas undergoing a change of state. This law, expressed as (P1 × V1)/(T1) = (P2 × V2)/(T2), allows you to calculate one missing property of a gas when the other three are known, making it essential for solving problems where multiple conditions change simultaneously.

Temperature Conversion

When using gas laws, temperatures must be expressed in Kelvin (an absolute temperature scale) because the relationships are directly proportional to the kinetic energy of gas particles. Converting Celsius to Kelvin (by adding 273.15) is crucial to ensure the accuracy of calculations involving gas behavior.

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