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1

### AIPMT 2000

For the reaction,
C2H5OH(l) + 3O2(g) $$\to$$ 2CO2(g) + 3H2O(l)
which one is true
A
$$\Delta$$H = $$\Delta$$E $$-$$RT
B
$$\Delta$$H = $$\Delta$$E + RT
C
$$\Delta$$H = $$\Delta$$E + 2RT
D
$$\Delta$$H = $$\Delta$$E $$-$$ 2RT

## Explanation

As we know, $$\Delta$$H = $$\Delta$$E + $$\Delta$$ng RT

Now, $$\Delta$$ng = Number of gaseous moles of products – number of gaseous moles of reactions

= 2 – 3 = – 1

$$\Rightarrow$$ $$\Delta$$H = $$\Delta$$E + (–1) RT

$$\Delta$$H = $$\Delta$$E – RT
2

### AIPMT 2000

The entropy change in the fusion of one mole of a solid melting at 27oC (latent heat of fusion is 2930 J mol–1) is :
A
9.77 J/mol-K
B
10.77 J/mol-K
C
9.07 J/mol-K
D
0.977 J/mol-K

## Explanation

$$\Delta S = {{\Delta H} \over T}$$

= $${{2930} \over {300}}$$

= 9.77 J/mol-K
3

### AIPMT 2000

2Zn + O2 $$\to$$ 2ZnO;  $$\Delta$$Go = $$-$$ 616 J
2Zn + S2 $$\to$$ 2ZnS;  $$\Delta$$Go = $$-$$ 293 J
S2 + 2O2 $$\to$$ 2SO2;   $$\Delta$$Go = $$-$$408 J
$$\Delta$$Go for the following reaction
2ZnS + 3O2 $$\to$$  2ZnO + 2SO2 is
A
$$-$$ 731 J
B
$$-$$ 1317 J
C
$$-$$ 501 J
D
+ 731 J

## Explanation

2Zn + O2 $$\to$$ 2ZnO;  $$\Delta$$Go = $$-$$ 616 J ....(1)
2ZnS $$\to$$ 2Zn + O2;  $$\Delta$$Go = $$+$$ 293 J.....(2)
S2 + 2O2 $$\to$$ 2SO2;   $$\Delta$$Go = $$-$$408 J .....(3)

$$\Delta$$Go for the reaction can be obtained by adding (1), (2) and (3)

$$\therefore$$ $$\Delta$$Go = 293 - 616 - 408 = -731 J
4

### AIPMT 2000

Cell reaction is spontaneous when
A
$$\Delta$$Go is negative
B
$$\Delta$$Go is positive
C
$$\Delta$$Eored is positive
D
$$\Delta$$Eored is negative

## Explanation

For spontaneous reaction $$\Delta$$Go = – ve and

Eocell = + ve

as $$\Delta$$Go = – nFEocell

where, n = number of electrons taking part

Eo = emf of cell

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