29. The following rule may be used to compute the quantity of heat which will be given off by a current of hot air of a given volume per minute, in cooling through any given number of degrees:

Rule 3

Multiply together the given volume of the air in cubic feet, the number of degrees through which it is cooled, and the number given in columns 3 and 6 of Table 7, for the original temperature. Divide this product by the original temperature, and the quotient will be the amount of heat given off in heat units.

Example

A current of hot air having a temperature of 150°, and a volume of 400 cubic feet per minute, is cooled to 65° in passing through a certain room; what amount of heat is given off per minute?

Solution

From Table 7, the heat contained in 1 cubic foot at 150° is 2.3196 B. T. U. Applying rule 3,

400

X

(150-65)

X

2.3196

=

525.78

B. T. U. Ans.

150

Example

How much heat will be required to warm 400 cubic feet of air to a temperature of 150°, the temperature out of doors being 10°?

Solution

The weight of 1 cubic foot at 10° is .08451 pound. Hence, applying rule 2, the number of B. T. U. required to heat 400 cubic feet from 10° to 150° is

U = .23751 X -08451 (150 -10) X 400 = 1,124 B. T. U. Ans.

30. The following table gives, for various temperatures, the weight of air per cubic foot, and the heat units that will be given up per cubic foot, upon cooling, from the original temperature to 0° F. The table is computed on the assumption that the air remains at a constant pressure of 14.7 pounds per square inch.

Table 7. Properties Of Air

Temperature.

Degrees . F.

Weight per

Cubic Foot.

Pounds.

B. T. U. Given up by 1 Cubic Foot of Air in Cooling to

0° From

0

.08635

.0000

2

.08597

.0408

4

.08560

.0813

6

.08523

.1214

8

.08487

.1613

10

.08451

.2007

12

.08415

.2398

14

.08380

.2786

16

.08344

.3171

18

.08309

.3552

20

.08275

.3931

24

.08206

.4678

28

.08139

.5413

32

.08073

.6136

36

.08008

.6847

40

.07944

.7547

45

.07865

.8406

50

.07788

.9249

55

.07712

1.0074

60

.07638

1.0885

65

.07566

1.1681

70

.07494

1.2459

Temperature. Degrees F.

Weight per

Cubic Foot.

Pounds.

B. T. U. Given up by 1 Cubic Foot of Air in Cooling to

0° From

75

.07424

1.3225

80

.07355

1.3975

85

.07288

1.4713

90

.07222

1.5438

95

.07157

1.6149

100

.07093

1.6847

110

.06968

1.8205

120

.06848

1.9518

130

.06732

2.0786

140

.06620

2.2013

150

.06511

2.3196

160

.06406

2.4344

170

.06305

2.5458

180

.06206

2.6532

190

.06111

2.7577

200

.06018

2.8587

210

.05929

2.9572

220

.05841

3.0521

230

.05756

3.1444

240

.05674

3.2343

250

.05594

3.3216

260

.05517

3.4069