For gaseous state, if most probable speed is denoted by C^* , average speed by C and root mean square speed by C , then for a large number of molecule - Chemistry MCQ JEE Main 2026 | ExamTest.live

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For gaseous state, if most probable speed is denoted by C^{*}, average speed by \overset{ˉ}{C} and root mean square speed by C, then for a large number of molecules the ratios of these speeds are:

Solution & Step-by-step Explanation

The formulas for molecular speeds are: C^{*} = \frac{2 RT}{M} \overset{ˉ}{C} = \frac{8 RT}{π M} C = \frac{3 RT}{M} Taking the ratio: C^{*} : \overset{ˉ}{C} : C = 2 : \frac{8}{π} : 3 C^{*} : \overset{ˉ}{C} : C \approx 1.414 : 1.595 : 1.732 Dividing by 1.414 : C^{*} : \overset{ˉ}{C} : C \approx 1 : 1.128 : 1.225

Try it yourself before checking the explanation above.

For gaseous state, if most probable speed is denoted by C^{*}, average speed by \overset{ˉ}{C} and root mean square speed by C, then for a large number of molecules the ratios of these speeds are:

C^{*} : \overset{ˉ}{C} : C = 1.128 : 1.225 : 1

C^{*} : \overset{ˉ}{C} : C = 1 : 1.128 : 1.225

C^{*} : \overset{ˉ}{C} : C = 1 : 1.125 : 1.128

C^{*} : \overset{ˉ}{C} : C = 1.225 : 1.128 : 1

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