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The molecular velocities of two gases at same temperature are u1 and u2, their molar masses are m1 and m2 respectively. Which of the following expression is correct?

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a

m1u12=m2u22

b

m1u1=m2u2

c

m1u1=m2u2

d

m1u12=m2u22

answer is D.

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Detailed Solution

If molecular velocities are root mean square type at ternperature T K, thenu1=3RTm1⇒u2=3RTm2⇒u12u22=m2m1∴m1u12=m2u22

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The molecular velocities of two gases at same temperature are u1 and u2, their molar masses are m1 and m2 respectively. Which of the following expression is correct?