The density of gas X is four times that of gas Y. If the molecular weight of X is M,then that of gas Y is

Let's solve the problem step by step:

Step 1: Let's assume the molecular weight of gas Y is represented by "m".

Step 2: According to the given information, the density of gas X is four times that of gas Y. This means that the density of gas X is 4 times the density of gas Y.

Step 3: Density is defined as mass divided by volume. Since the density of gas X is four times that of gas Y, we can write the equation as follows:

Density of X = 4 * Density of Y

Step 4: The molecular weight of a gas is directly proportional to its density. Therefore, we can write the equation as follows:

Molecular weight of X = 4 * Molecular weight of Y

Step 5: We know that the molecular weight of X is given as "M". Substituting this value into the equation, we get:

M = 4 * Molecular weight of Y

Step 6: Now, we can solve for the molecular weight of Y by rearranging the equation:

Molecular weight of Y = M / 4

Therefore, the molecular weight of gas Y is M/4.