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Q.

ATP+H2O→ADP+PO43−;    ΔrG∘=−31kJ/mol Glucose + Fructose → Sucrose;     ΔrG∘=23kJ/molA 100 ml solution is 0.5 (M) with respect to glucose and 0.8 (M) with respect to fructose. To this how many liters of gastric juice containing l0-2 (M) ATP is to be added to obtain maximum molarity of sucrose?

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a

3 L

b

2.71 L

c

37.1 L

d

3.71 L

answer is D.

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Detailed Solution

Glucose + Fructose → Sucrose5×10−2mol         8×10−2molGlucose is the L.R. and maximum amount of sucrose to be obtained = 5 × 10-2 mol ∴  Energy required =23×5×10−2kJLet V ml of ATP solution is requiredV×10−5×31=23×5×10−2∴ V=23×531×103=3.71×103mL=3.71L
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ATP+H2O→ADP+PO43−;    ΔrG∘=−31kJ/mol Glucose + Fructose → Sucrose;     ΔrG∘=23kJ/molA 100 ml solution is 0.5 (M) with respect to glucose and 0.8 (M) with respect to fructose. To this how many liters of gastric juice containing l0-2 (M) ATP is to be added to obtain maximum molarity of sucrose?