1
JEE Advanced 2017 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
An ideal gas is expanded from $$\left( {{p_1},{V_1},{T_1}} \right)$$ to $$\left( {{p_2},{V_2},{T_2}} \right)$$ under different conditions. The correct statement(s) among the following is (are)
A
The work done on the gas is maximum when it is compressed irreversibly from $$\left( {{p_2},{V_2}} \right)$$ to $$\left( {{p_1},{V_1}} \right)$$ against constant pressure $${p_1}$$
B
If the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic
C
The work done by the gas is less when it is expanded reversibly from $${V_1}$$ to $${V_2}$$ under adiabatic conditions as compared to that when expanded reverseibly from $${V_1}$$ to $${V_2}$$ under isothermal conditions
D
The change in internal energy of the gas is (i) zero, if it is expanded reversibly with $${T_1} = {T_2}$$ , and (ii) positive, if it is expanded reversibly under adiabatic conditions with $${T_1}\, \ne \,{T_2}$$
2
JEE Advanced 2017 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Addition of excess aqueous ammonia to a pink colored aqueous solution of $$MC{l_2},6{H_2}O\left( X \right)$$ and $$N{H_4}Cl$$ gives an octahedral complex $$Y$$ in the presence of air. In aqueous solution, complex $$Y$$ behaves as $$1:3$$ electrolyte. The reaction of $$X$$ with excess $$HCl$$ at room temperature results in the formation of a blue colored complex $$Z.$$ The calculated spin only magnetic moment of $$X$$ and $$Z$$ is $$3.87$$ $$B.M.,$$ whereas it is zero for complex $$Y.$$ Among the following options, which statement(s) is (are) correct?
A
Addition of silver nitrate to $$Y$$ gives only two equivalents of silver chloride
B
The hybridization of the central metal ion in $$Y$$ is $${d^2}s{p^3}$$
C
$$Z$$ is a tetrahedral complex
D
When $$X$$ and $$Z$$ are in equilibrium at $${0^ \circ }C,$$ the color of the solution is pink
3
JEE Advanced 2017 Paper 1 Offline
Numerical
+3
-0
The conductance of a $$0.0015$$ $$M$$ aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized $$Pt$$ electrodes. The distance between the electrodes is $$120$$ $$cm$$ with an area of cross section of $$1$$ $$c{m^2}.$$ The conductance of this solution was found to be $$5 \times {10^{ - 7}}S.$$ The $$pH$$ of the solution is $$4.$$ The value of limiting molar conductivity $$\left( {\Lambda _m^o} \right)$$ of this weak monobasic acid in aqueous solution is $$Z \times {10^2}S$$ $$c{m^2}$$ $$mo{l^{ - 1}}.$$ The value of $$Z$$ is
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4
JEE Advanced 2017 Paper 1 Offline
Numerical
+3
-0
A crystalline solid of a pure substance has a face-centered cubic structure with a cell edge of $$400$$ $$pm.$$ If the density of the substance in the crystal is $$8$$ $$g\,c{m^{ - 3}},$$ then the number of atoms present in $$256$$ $$g$$ of the crystal is $$N \times {10^{24}}.$$ The value of $$N$$ is
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