Q5 Solve Gas Problem Physics G11
# Q5 Solve Gas Problem Physics G11
## Introduction
In this article, we will tackle a problem related to the behavior of gases, specifically focusing on the relationship between temperature and pressure of a gas in a sealed container. The problem involves nitrogen gas held in a 2-liter container at standard temperature and pressure (STP) and examines how an increase in temperature affects the pressure of the gas.
## Problem Statement
A container holds 2 liters of nitrogen gas at standard temperature and pressure (STP). The container is sealed to keep the volume constant. If the temperature of the gas is increased by 27°C, what happens to the pressure of the gas?
## Understanding the Relationship
It is known that the pressure of a gas is directly proportional to its absolute temperature, provided the volume remains constant. This relationship can be expressed as: initial pressure over initial temperature equals final pressure over final temperature.
## Solution
– At STP, the initial pressure is 1 atmosphere and the initial temperature is 0°C (273 Kelvin).
– Given that the temperature of the gas is increased by 27°C, the final temperature will be 300 Kelvin.
– Substituting these values into the formula, we find that the final pressure of the gas is 1.1 atmospheres.
## Conclusion
Therefore, as the temperature of the gas increases by 27°C, the pressure of the gas also increases to 1.1 atmospheres. This problem highlights the direct relationship between temperature and pressure in a sealed container of gas.
## Closing
Thank you for exploring this gas problem with us. Stay tuned for more physics problem-solving in our next video. Goodbye!
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