The following graph is obtained for a gas at different temperatures (T1, T2, T3). What is the correct order of temperature? (x-axis = velocity; y-axis = number of molecules)
Show Hint
In the Maxwell-Boltzmann distribution curve, higher temperatures shift the curve to the right, meaning more molecules move at higher velocities.
The graph shows the distribution of velocities for gas molecules at three different temperatures: \( T_1, T_2, \) and \( T_3 \).
Step 1: The curve with the highest peak corresponds to the temperature at which most molecules have velocities near the average velocity. This is because at higher temperatures, the molecules have higher average velocities.
Step 2: Looking at the graph, we can observe that: - The curve for \( T_2 \) is the highest, indicating that \( T_2 \) has the highest number of molecules at higher velocities. - The curve for \( T_1 \) lies below \( T_2 \), showing that \( T_1 \) has a lower number of molecules at higher velocities. - The curve for \( T_3 \) is the lowest, indicating that \( T_3 \) has the least number of molecules with high velocities.
Step 3: From the above observations, we can conclude that the correct order of temperature is \( T_2<T_1<T_3 \), which corresponds to option (1).
