How does the pressure of gas changes if the Kelvin temperature of gas doubles, if the volume and amount of gas are kept constant? cannot be determined It doubles It decreases by half. It increases by half. It quadruples

How does the pressure of gas changes if the Kelvin temperature of gas doubles, if the volume and amount of gas are kept constant? cannot be determined It doubles It decreases by half. It increases by half. It quadruples

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

Question

### Understanding Gas Laws: Pressure and Temperature Relationship

#### How does the pressure of gas change if the Kelvin temperature of gas doubles, if the volume and amount of gas are kept constant?

- ○ Cannot be determined
- ○ It doubles
- ○ It decreases by half
- ○ It increases by half
- ○ It quadruples

#### Explanation

According to Gay-Lussac's Law, when the volume and the amount of gas are kept constant, the pressure of a gas is directly proportional to its temperature in Kelvin. Mathematically, it can be expressed as:

\[ \frac{P1}{T1} = \frac{P2}{T2} \]

Where:
- \( P1 \) and \( P2 \) represent the initial and final pressures, respectively.
- \( T1 \) and \( T2 \) represent the initial and final temperatures in Kelvin, respectively.

From this relationship, if the temperature \( T2 \) is twice the initial temperature \( T1 \) (i.e., \( T2 = 2T1 \)), then the pressure will also double. Therefore, the correct answer is:

- ○ It doubles

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