For an ideal gas, if the temperature is increased, what happens to the RMS speed?
Practice Questions
1 question
Q1
For an ideal gas, if the temperature is increased, what happens to the RMS speed?
Increases
Decreases
Remains constant
Depends on the gas
The RMS speed increases with temperature as v_rms = sqrt(3RT/M) shows that it is directly proportional to the square root of temperature T.
Questions & Step-by-step Solutions
1 item
Q
Q: For an ideal gas, if the temperature is increased, what happens to the RMS speed?
Solution: The RMS speed increases with temperature as v_rms = sqrt(3RT/M) shows that it is directly proportional to the square root of temperature T.
Steps: 5
Step 1: Understand what RMS speed is. RMS speed is a measure of the average speed of gas particles in an ideal gas.
Step 2: Know the formula for RMS speed: v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass of the gas.
Step 3: Identify the relationship between temperature (T) and RMS speed (v_rms) in the formula. The formula shows that v_rms is proportional to the square root of T.
Step 4: Realize that if the temperature (T) increases, the square root of T also increases.
Step 5: Conclude that since v_rms is directly proportional to the square root of T, an increase in temperature will lead to an increase in RMS speed.
