Initial volume of He, V = 3L
Initial pressure of He, P= 145 mmHg
After connecting the tube,
Final volume of He, V' = (total volume for the gas free to move)
= (Total volume of the two tubes)
=( 3 + 2 ) L
= 5 L
let, in the mixture pertial pressure of He = P' mmHg
We know, PV= P'V'
Or, P' = PV/V'
Or, P' = 3×145/5
Or, P' = 87 mmHg
Initial volume of Ar, V* = 3L
Initial pressure of Ar, P* = 145 mmHg
After connecting the tube,
Final volume of Ar, V" = (total volume of two tubes)
= (Total volume of the two tubes)
=( 3 + 2 ) L
= 5 L
let, in the mixture pertial pressure of He = P" mmHg
We know, P*V* = P"V"
Or, P' = P*V*/V"
Or, P" = 2×355/5
Or, P'' = 142 mmHg
Hence, pertial pressure of He in the mixture = 87 mmHg
Hence, pertial pressure of Ar in the mixture = 142 mmHg
Total pressure= (P" + P') mmHg
=( 87+142 ) mmHg
= 229 mmHg
Hence the total pressure = 229 mmHg
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