What are Equal Fractions?

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The plot of 1/x_A versus 1/y_A (where x_A and y_A are the mole fractions of A in liquid and vapour phases respectively) is linear whose slope and intercept respectively are given as

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Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escapes in the time required for one-half of the hydrogen to escape?

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If $\alpha, \beta$ are the roots of the equation $a x^2+b x+c=0$, then $\frac{\alpha}{a \beta+b}+\frac{\beta}{a \alpha+b}$ is equal to

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If $\sin \alpha$ and $\cos \alpha$ are the roots of the equation $p x^2+q x+r$ $=0$ then $q^2$ is equal to

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If $\alpha$ and $\beta$ are the roots of the quadratic equation $4 x^2-4 x+1=0$, then $\alpha^3+\beta^3$ is equal to

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If $\alpha$ and $\beta$ are imaginary cube roots of unity, then $\alpha^4+\beta^4+\frac{1}{\alpha \beta}$ is equal to

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Days and Nights are equal throughout the globe when the sun is above —

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Van't Hoff factors of aqueous solutions of X, Y, Z are 1.8, 0.8 and 2.5. Hence, correct order of their boiling point is (assume equal concentrations in all three cases) :

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If a grain is equal to 64.8 mg, how many moles of aspirin (mol. wt. = 169) are present in 5.00 grain aspirin tablet?

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In the following reaction, 3A(g) + B(g) ⇌ 2C(g) + D(g), Initial moles of B is double of A. At equilibrium, moles of A and C are equal. Hence % dissociation of B is :

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Equal masses of sulphur dioxide and oxygen are mixed in an empty container at $25^{\circ} C$. The fraction of the total pressure exerted by sulphur dioxide is :

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Two equal and opposite charges $4×10^{-8}C$ are placed $2×10^{-2}$ cm away, from a dipole. If this dipole is placed in an external electric field of $4×10^8NC^{-1}$

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A compound contains equal masses of the elements A, B and C if the atomic weights of A, B and C are 20, 40 and 60 respectively. The empirical formula of the compound is

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In a second order reaction, when the concentration of both the reactants are equal, the reaction is completed 20% in 500s. How long would it take for the reaction to go to 60% completion?

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Sulphur exist in different allotropic forms like S2, S6 and S8 etc. If equal moles of these three forms are taken in separate containers, then the ratio of number of atoms present in them respectively is

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The observations 29, 32 ,48, 50, x, x+2, 72, 78, 84 and 95 are arranged in ascending order. What is the value of x, if the median of the data is 63?

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What will be the volume of that parallelopiped whose sides are a= i − j + k, b= i − 3j + 4k and c= 2i − 5j + 3k.

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