Questions: A sample of gas at a constant pressure is heated. What will happen to its volume?
remain the same
increase
temperature change has no effect on a gas
not enough information is given
decrease
Transcript text: A sample of gas at a constant pressure is heated. What will happen to its volume?
remain the same
increase
temperature change has no effect on a gas
not enough information is given
decrease
Solution
Solution Steps
Step 1: Understanding the Relationship Between Temperature and Volume
According to Charles's Law, for a given amount of gas at constant pressure, the volume of the gas is directly proportional to its absolute temperature (measured in Kelvin). Mathematically, this can be expressed as:
\[ V \propto T \]
or
\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]
where \( V \) is the volume and \( T \) is the temperature.
Step 2: Applying Charles's Law
Given that the pressure is constant and the gas is heated, the temperature \( T \) increases. According to Charles's Law, if the temperature increases, the volume \( V \) must also increase to maintain the proportionality.
Final Answer
The volume of the gas will increase when it is heated at constant pressure.