From the ideal gas law equation we know that,

From Problem 2.13 we know that,

From (1) and (2) we have,

In (4), h-h0 represents height above sea level and P0 the atmospheric pressure at sea level and T I am guessing is assumed to be 273K.

So at a height of 5 Km above sea level we have,

Similarly at a height of 5 Km below sea level we have,

## Monday, January 25, 2010

### Irodov Problem 2.13

### Irodov Problem 2.12

### Irodov Problem 2.11

Since its one mole of an ideal gas we have,

a) Also since we know that,

Hence we have,

Extrema of the temperature will occur when the first derivative is zero.

The second derivative is given by,

Hence this corresponds to a maximum. So we have,

b) Similar to above, using ideal gas equation and given relationship between P and V the we have,

Extrema of the temperature will occur when the first derivative is zero.

The second derivative is given by,

Hence, this corresponds to a maximum. So from (5) and (6) we have,

a) Also since we know that,

Hence we have,

Extrema of the temperature will occur when the first derivative is zero.

The second derivative is given by,

Hence this corresponds to a maximum. So we have,

b) Similar to above, using ideal gas equation and given relationship between P and V the we have,

Extrema of the temperature will occur when the first derivative is zero.

The second derivative is given by,

Hence, this corresponds to a maximum. So from (5) and (6) we have,

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