Respuesta :
I believe the balanced chemical equation is:
C6H12O6 (aq) + 6O2(g) ------> 6CO2(g) + 6H2O(l)
First calculate the moles of CO2 produced:
moles CO2 = 25.5 g C6H12O6 * (1 mol C6H12O6 / 180.15 g) * (6 mol CO2 / 1 mol C6H12O6)
moles CO2 = 0.8493 mol
Using PV = nRT from the ideal gas law:
V = nRT / P
V = 0.8493 mol * 0.08205746 L atm / mol K * (37 + 273.15 K) / 0.970 atm
V = 22.28 L
The volume of the dry CO₂ produced is 22.30 liters.
The given parameters;
- temperature of the body, T = 37 ° C = (273 + 37) K = 310 K
- pressure of the body, P = 0.97 atm
The balanced chemical reaction of the given compounds;
[tex]C_6H_{12}O_6 \ +\ 6O_2 \ ----> \ 6CO_2\ + \ 6H_2O[/tex]
Molecular mass of glucose ([tex]C_6H_1_2O_6[/tex] = 180 g/mol)
180 g of glucose ---------------- 6 moles of CO₂
25.5 g of glucose ---------------- ? moles of CO₂
[tex]= \frac{25.5 \times 6}{180} \\\\= 0.85 \ mol \ of \ CO_2[/tex]
The volume of the dry CO₂ produced is calculated form Ideal gas law;
PV = nRT
where;
R is the ideal gas constant = 0.082057 L. atm /mol K
[tex]V = \frac{nRT}{P} \\\\V = \frac{0.85 \times 0.082057\times 310}{0.97} \\\\V = 22.30 \ liters[/tex]
Thus, the volume of the dry CO₂ produced is 22.30 liters.
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