   # The sun supplies energy at a rate of about 1.0 kilowatt per square meter of surface area (1 watt = 1 J/s). The plants in an agricultural field produce the equivalent of 20. kg sucrose (C 12 H 22 O 1l ) per hour per hectare (1 ha = 10.000 m 2 ). Assuming that sucrose is produced by the reaction 12 CO 2 ( g ) + 11 H 2 O ( l ) → C 12 H 22 O 11 ( s ) + 12 O 2 ( g ) Δ H = 5640 KJ calculate the percentage of sunlight used to produce the sucrose—that is, determine the efficiency of photosynthesis. ### Chemistry

10th Edition
Steven S. Zumdahl + 2 others
Publisher: Cengage Learning
ISBN: 9781305957404

#### Solutions

Chapter
Section ### Chemistry

10th Edition
Steven S. Zumdahl + 2 others
Publisher: Cengage Learning
ISBN: 9781305957404
Chapter 6, Problem 132CP
Textbook Problem
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## The sun supplies energy at a rate of about 1.0 kilowatt per square meter of surface area (1 watt = 1 J/s). The plants in an agricultural field produce the equivalent of 20. kg sucrose (C12H22O1l) per hour per hectare (1 ha = 10.000 m2). Assuming that sucrose is produced by the reaction 12 CO 2 ( g ) + 11 H 2 O ( l ) → C 12 H 22 O 11 ( s ) + 12 O 2 ( g )     Δ H = 5640   KJ calculate the percentage of sunlight used to produce the sucrose—that is, determine the efficiency of photosynthesis.

Interpretation Introduction

Interpretation: The efficiency of photosynthesis process should be determined.

Standard enthalpy of formation:

• The change in enthalpy that associate with the formation of one mole of a product from its pure elements, with all substances in its standard states is called as a standard enthalpy of formation.
• The energy change of a reaction is related to the enthalpy change.

### Explanation of Solution

Explanation

Sun furnished energy is 1.0 kW/m2

Produced sucrose is 20kg

Enthalpy change is 5640kJ

Agricultural field area is 10.000 m2

To calculate the energy required for 20kg of sucrose production.

Photosynthesis reaction is,

12CO2(g)+11H2O(l)C12H22O11(s)+12O2(g)

Sucrosemolecularweight is 342.3g

=Massofsucroseproduceh×1molofsucrosesucrosemolecularweight×enthalpychangy1mol=20,000g1h×1342.3g×5640KJ1mol=3.3×105KJh

• The enthalpy change for per mole of sucrose production is multiplied by the mole of 20kg sucrose to get energy required for 20kg of sucrose production.
• The given enthalpy change and molecular weight of sucrose are plugging in the above equation to get the energy required for 20kg of sucrose production.
• The energy required for 20kg of sucrose production is 3.3×105KJh .

To calculate the furnished sun energy for per hour.

Furnishedsunenergy=1.0kWm21

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