1. Tardigrade
  2. Question
  3. Chemistry
  4. ATP + H 2 O arrow ADP + PO 43- ; Δr G°=-31 kJ / mol Glucose + Fructose arrow Sucrose; Δr G°=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 liters of gastric juice containing 10-2(M) ATP is to be added to obtain maximum molarity of sucrose?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $ATP + H _{2} O \rightarrow ADP + PO _{4}^{3-} ; \,\,\,\Delta_{r} G^{\circ}=-31\, kJ / mol$
Glucose + Fructose $\rightarrow$ Sucrose; $\Delta_{r} G^{\circ}=23\, kJ / mol$
A $100 \,ml$ solution is $0.5( M )$ with respect to glucose and $0.8( M )$ with respect to fructose. To this how many liters of gastric juice containing $10^{-2}(M)$ ATP is to be added to obtain maximum molarity of sucrose?

Thermodynamics

Solution:

image
Glucose is the L.R. and maximum amount of sucrose to be obtained $=5 \times 10^{-2} \,mol$
$\therefore $ Energy required $=23 \times 5 \times 10^{-2} kJ$
Let $V ml$ of ATP solution is required
$V \times 10^{-5} \times 31=23 \times 5 \times 10^{-2}$
$\therefore V=\frac{23 \times 5}{31} \times 10^{3}=3.71 \times 10^{3} \,mL =3.71 \,L$