Degree of dissociation of 3 binary electrolytes are 0.6 , 0.2 , 1.0 in a solution having same mole fraction of water. The ratio of lowering in vapor pressure of their solution is: 1) 0.8:0.6:1 2) 0.3:0.5:0.2 3) 0.2:0.4:0.1 4) 1:2:0.5

Q. Which of the following can not be valid assignment of probabilities for outcomes of sample space S = Assignment ω 1 ω 2 ω 3 ω 4 ω 5 ω 6 ω 7 (a) 0.1 0.01 0.05 0.03 0.01 0.2 0.6 (b) (c) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 (d) –0.1 0.2 0.3 0.4 –0.2 0.1 0.3 (e)

Q. Which of the following distributions of probabilities of a random variable X are the probability distributions?
(i)

X :	3	2	1	0	−1
P (X) :	0.3	0.2	0.4	0.1	0.05

(ii)

X :	0	1	2
P (X) :	0.6	0.4	0.2

(iii)

X :	0	1	2	3	4
P (X) :	0.1	0.5	0.2	0.1	0.1

(iv)

X :	0	1	2	3
P (X) :	0.3	0.2	0.4	0.1

Q. $0.2mol$ of $N{a}_{3}P{O}_4$ and $0.5mol$ of $Ba(N{O}_3{)}_2$ are mixed in a $1L$ of solution. Which of the following statements is/are correct?

Q.

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.

(i)

X	0	1	2
P (X)	0.4	0.4	0.2

(ii)

X	0	1	2	3	4
P (X)	0.1	0.5	0.2	− 0.1	0.3

(iii)

Y	−1	0	1
P (Y)	0.6	0.1	0.2

(iv)

Z	3	2	1	0	−1
P (Z)	0.3	0.2	0.4	0.1	0.05

Q.

0.2 mole of HCl and 0.1 mole of CaCl₂ were dissolved in water to have 500 ml of solution, the molarity of Cl^- ions is

(1)0.04 M (2)0.8 M (3)0.4 M (4)0.08 M