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Question

Physics Question on kinetic theory

Rate of effusion of LPG (a mixture of n-butanemole fraction of n-butane in LPG is

A

0.75

B

0.25

C

0.5

D

0.67

Answer

0.5

Explanation

Solution

r2/r1r_2/r_1 = 1.25 M2=?.M1M_2 = ? . M_1 = 32 + 16 ×\times 3 = 80 r2r1=M1M2\frac{r_2}{r_1}= \sqrt{\frac{M_1}{M_2}} ; 1.25 = 80M2\sqrt{\frac{80}{M_2}} M2=80×1625=128025M_2 = \frac{80 \times 16}{25} = \frac{1280}{25} =51.2 Mol mass of C4H18C_4H_{18} = 58 Mol mass of C3H8C_3H_8 = 44 Let mole fraction of C4H10C_4H_{10} = x \therefore 58x + 44(1 -x ) = 51.2 58r - 44x = 51.2 - 44.0 14x = 7.2 x=7.215=0.5x = \frac{7.2}{15} = 0.5