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Question

Question: ATP + H<sub>2</sub>O ¾® ADP + \(PO_{4}^{3 -}\) D<sub>r</sub>Gŗ = – 31 kJ/mol Glucose + Fructose ¾® ...

ATP + H2O ¾® ADP + PO43PO_{4}^{3 -} DrGŗ = – 31 kJ/mol

Glucose + Fructose ¾® Sucrose DrGŗ = 23 kJ/mol

A 100 ml solution is 0.5 (M) with respect to glucose and 0.8 (M) with respect to fructose. To this how many litres of gastric juice containing 10–2 (M) ATP is to be added to obtain maximum molarity of sucrose ?

A

3L

B

2.71 L

C

37.1 L

D

3.71 L

Answer

3.71 L

Explanation

Solution

Glucose + Fructose ¾® Sucrose

5 × 10–2 mole 8 × 10–2 mole

Glucose is the L.R. and maximum amount of sucrose to be

obtanined = 5 × 10–2 mol

\ Energy required = 23 × 5 × 10–2 kJ

Let V ml of ATP solution is required

V × 10–5 × 31 = 23 × 5 × 10–2

\ V = 23×531\frac{23 \times 5}{31} × 103 = 3.71 × 103 mL = 3.71 L