Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by ΔHmmix = - 19250 XCuXZnThe corresponding partial molar enthalpy of mixing (in J/mol) for Cu is

- 19250 x2zn

Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by ΔHmmix = - 19250 XCuXZn The corresponding partial molar enthalpy of mixing (in J/mol) for Cu is

If u (x, y, z, t) = f(x + iβy - vt) + g(x - iβy - vt), where f and g are arbitrary and twice differentiable functions, is a solution of the wave equation $$\frac{{\partial {u^2}}}{{\partial {x^2}}} = \frac{{{\partial ^2}u}}{{\partial {y^2}}} = \frac{1}{{{c^2}}}\frac{{{\partial ^2}u}}{{\partial {t^2}}}$$ then β is

A

$${\left( {1 - \frac{v}{c}} \right)^{\frac{1}{2}}}$$

B

$$\left( {1 - \frac{v}{c}} \right)$$

C

$${\left( {1 - \frac{{{v^2}}}{{{c^2}}}} \right)^{\frac{1}{2}}}$$

D

$$\left( {1 - \frac{{{v^2}}}{{{c^2}}}} \right)$$

A 60% spirit solution is mixed with r% spirit solution in the ratio 1 : 3 such that a s% spirit solution is obtained. When a (s/3)% spirit solution is mixed with 55% spirit solution in equal ratio, an (r/2)% spirit solution is obtained. Which of the following can be determined? (A) Value of ‘r’ (B) Value of ‘s’ (C) Volume of the 60% spirit solution mixed initially (D) If 9 liters of r% spirit solution was mixed initially, what was the volume of the s% spirit solution thus obtained?

A

Only C and D

B

Only A and B

C

Only A, C and D

D

Only A, B and D

E

Only A, B and C

What is the final enthalpy of the solution made by mixing 10 grams of solution A having enthalpy 10 J with 40 grams of solution B having enthalpy 30 J?

A

14 J

B

18 J

C

22 J

What is the final enthalpy of the solution made by mixing 20 grams of solution A having enthalpy 5 J with 5 grams of solution B having enthalpy 10 J?

A

2 J

B

4 J

C

6 J

What is the final enthalpy of the solution made by mixing 5 grams of solution A having enthalpy 20 J with 15 grams of solution B having enthalpy 40 J?

A

10 J

B

20 J

C

25 J

A chemical solution appears green when the salt concentration is 8 grams per litre (gpl) and red when it is 10 gpl. Pure water was added to the solution of 1 litre of 15 gpl solution till it turned green. Then 125 ml of the green solution is taken out and x grams of salt is added to the green solution to make it red. Another 500 ml of the final solution was taken out and y litres of green solution is added to get a resultant solution of concentration 9.6 gpl. Assume adding salt doesn’t change its volume and find the ratio of x and y.

A

1

B

1.25

C

1.5

D

2

E

1.75

Only if the calculated molar mass is higher than the actual molar mass of the solute, the calculated molar mass is considered to be abnormal molar mass.

A

True

B

False

Solution X contains 7% (by weight) of liquid M and solution Y contains 14.5% (by weight) of liquid M. If 3 grams of solution X is mixed with 2 grams of solution Y, then liquid M accounts for what percent of the weight of the resulting solution?

A

6.09%

B

10%

C

10.75%

D

21.5%

If we allow inter diffusion to taken place between the elements A and B, there will be change in the free energy because of mixing, if the total molar free energy g of a purely mechanical mixture is 8 Jmol-1 and the ΔG of mix is 5Jmol-1, then the total free energy of the system is ____________

A

3 Jmol-1

B

13 Jmol-1

C

40 Jmol-1

D

15 Jmol-1

The solution of initial value problem; $$\frac{{\partial {\text{u}}}}{{\partial {\text{x}}}} = 2\frac{{\partial {\text{u}}}}{{\partial {\text{t}}}} + {\text{u,}}$$ where u(x, 0) = 6e^-3x is

A

u = 6e^{-3x + t}

B

u = 6e^{-(2x + 2t)}

C

u = 6e^{-(3x + 2t)}

D

u = 6e^{-(3x + 2t)}

Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by ΔH_m^mix = - 19250 X_CuX_Zn
The corresponding partial molar enthalpy of mixing (in J/mol) for Cu is

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