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Two flasks A and B have equal volumes. F...

Two flasks A and B have equal volumes. Flask A contains hydrogen at 300K while B contains equal mass o methane of 600K. Which of the following facts is/are correct if the gases follow ideal behaviour?

A

Flask A contains greater number of molecules.

B

The average speed of molecules in flask B is twice that of molecules in flask A.

C

Both the gases have the same compression factor

D

Total kinetic energy of molecules in flask Ais greater than that of molecules in flask B

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
A) `n_(H_(2)) = m//2 g mol^(-1) , n_(CH_(4)) = m//16 g mol^(-1) ` . Since `n_(H_(2)) gt n_(CH_(4))` , it follows that `N_(H_(2)) gt N_(CH_(4))`
B) Average speed depends upon `sqrt(T //M)`
`(u (H_(2)))/(u (CH_(4))) = [ (T (H_(2)))/(M(H_(2))) = (M (CH_(4)))/(T (CH_(4)))]^(1//2) = [ ((300 K)/(2g mol^(-1))) ((16 g mol^(-1))/(600 K))]^(1//2) = 2`
C) For an ideal gas , compression factor is equal to 1 .
D) `(KE)_("total") = n (KE) = n (1.5 RT) , (KE (H_(2)))/(KE (CH_(4))) = ((m //2 g mol^(-1)) (1.5 R) (300 K))/(( m//16 g mol^(-1)) (1.5 R)(600 K)) = 4`
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