Specify the sum of the statement numbers that correctly reflect the properties of the Maxwell distribution function. 1. The Maxwell distribution function depends on temperature. 2. The Maxwell function is zero at v=0 and v=00. 4. Each value of the function F(v), except for the maximum.corresponds to two values of the velocity of molecules. 8. The derivative dF/dv is not zero at any speed values.

The Maxwell distribution function is a probability distribution that describes the speeds of molecules in a gas. Let's analyze each statement:<br /><br />1. The Maxwell distribution function depends on temperature.<br /> - This statement is correct. The Maxwell distribution function depends on the temperature of the gas, which affects the average kinetic energy of the molecules.<br /><br />2. The Maxwell function is zero at $v=0$ and $v=\infty$.<br /> - This statement is incorrect. The Maxwell distribution function is not zero at $v=0$ and $v=\infty$. It is non-zero for all values of velocity.<br /><br />4. Each value of the function $F(v)$, except for the maximum, corresponds to two values of the velocity of molecules.<br /> - This statement is correct. The Maxwell distribution function is symmetric about the mean velocity, so each value of the function corresponds to two values of the velocity.<br /><br />8. The derivative $\frac{dF}{dv}$ is not zero at any speed values.<br /> - This statement is incorrect. The derivative of the Maxwell distribution function is zero at the mean velocity.<br /><br />Therefore, the sum of the statement numbers that correctly reflect the properties of the Maxwell distribution function is 1 + 4 = 5.