The purchased cost of a double pipe heat exchanger with 100 ft2 of heating surface was $3000 in 1980. What will be the purchased cost of a similar heat exchanger with 200 ft2 of heating surface in 1980 if the purchased-cost-capacity exponent is 0.60 for surface area ranging from 100 to 400ft2? If the purchased-cost-capacity exponent for this type of exchanger is 0.81 for surface areas ranging from 400 to 2000 ft2, what will be the purchased cost of a heat exchanger with 1000 ft2 of heating surface in 2000?cost Index in 1980-780 and cost Index in 2000-981

By sudipraj on

$$A=100\;ft^2 A=200\;ft^2$$

$$C=\$3000$$

$$n=0.6$$

$$x=3000\left(\frac{200}{100}\right)^{0.6}$$

$$=4547.1497\;;\;1980\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;A=200ft$$

$$100-2000;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;n=0.81$$

$$A=1000ft^2$$

$$\frac{C_02000}{C_11980}=\frac{981}{780}\times\left(\frac{1000}{200}\right)^{0.81}$$

$$=\frac{981}{780}\times\left(\frac{1000}{200}\right)^{0.81}\times4547.1497$$

$$=21061.0$$