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1. Oxidation of 1g carbohydrate, fat and protein yields 0.56, 1.07, and 0.42 g m

ID: 253575 • Letter: 1

Question

1. Oxidation of 1g carbohydrate, fat and protein yields 0.56, 1.07, and 0.42 g metabolic water respectively. Retention of 1g of dietary protein yields 0.16 g metabolic water whereas 0.07g of water is prduced when 1 g of dietary fat and carbohydrate, respectively, are retained as fat.

For a lactating cow consuming 15 kg DM/day and feed contains 76% carbohydrate, 4% fat, and 14% crude protein;

How much metabolic water will the cow produce under the following scenarios:

(i) If 65% of carbohydrate, 70% fat, and 60% crude protein is oxidized?

(ii) If 15% of crude protein, 15% fat, and 12% carbohydrate is retained?

Explanation / Answer

Ans (i) : 991.288 g

82.2 x 0.16 = 13.152 g

Total water produced = 991.288 g

Ans (ii) : 1240.586 g

45.6 x 0.16 = 7.296 g

Total water produced = 1240.586 g

DM basis (%) Grams oxidised Grams retained Water due to oxidation Water due to retention CHO 76% 1140 x 0.65 = 741 g 1140 - 741 = 399 g 741 x 0.56 =414.96 g 399 x 0.07 = 27.93 g Fat 4% 304 x 0.70 = 221.8 g 304 - 221.28 = 82.2 g 221.8 x 1.07 = 237.326 g

82.2 x 0.16 = 13.152 g

Protein 14% 1064 x 0.60 = 638.4 g 1064 - 638.4 = 425.6 g 638.4 x 0.42 = 268.128 g 425.6 x 0.07 = 29.792 g Total 920.414 g 70.874 g