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Question

The average speed at T1K and most probable speed at T2K of CO2 gas is 9×104cm/sec. The values of T1 and T2 are

A
2143 K;1694 K
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B
1726 K;2126 K
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C
1684 K;2143 K
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D
1684 K;3368 K
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Solution

The correct option is C 1684 K;2143 K
Average speed = (8RTπm)

Most probable speed = (2RTm)

Average speed at T1K = MP speed at T2KforCO2

(8RT1πm)=(2RT2m)

T1T2=π4------(i)

Also for CO2ump=(2RTm)=9×104

= 2×8.314×107×T244=9×104

By eq (1) We get
T2=2143K
T1=1684K
Hence answer is (C)


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