Chemistry: Which of the following may happen to astronauts when they return to Earth from space? (1 point) They may feel dizzy because the flow of blood to and from the heart to the brain is affected in space. They may feel dizzy because the heart pumps more blood per beat on Earth than in space. Their heart rate may slow down because there is more blood to circulate around the body. Their heart rate may slow down because there is less blood to circulate around the body.

Which of the following may happen to astronauts when

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11.10.2022

(a) $F_{496/ K}=1.411\times 10^{-17}$

(b) $F_{528/ K}=1.482\times 10^{-16}$

Explanation:

Using the expression,

${k}=Ae^{-\dfrac{E_{a}}{RT}}$

Where,

$k\ is\ the\ rate\ constant\ at\ T$

E_a is the activation energy

A is the pre-exponential factor

R is Gas constant having value = 8.314 J / K mol

The factor, $e^{-\dfrac{E_{a}}{RT}}$ is the fraction of molecules which have value equal to or grater than activation energy.

Thus,

$F=e^{-\dfrac{E_{a}}{RT}}$

(a) Given, E_a = 160.0 kJ/mol = 160000 J/mol (As 1 kJ = 1000 J)

T = 496 K

Thus, applying values as:

$F=e^{-\dfrac{160000}{8.314\times 496}}$

$F=\frac{1}{7.08749\times 10^{16}}$

$F_{496/ K}=1.411\times 10^{-17}$

(b) Given, E_a = 160.0 kJ/mol = 160000 J/mol (As 1 kJ = 1000 J)

T = 528 K

Thus, applying values as:

$F=e^{-\dfrac{160000}{8.314\times 528}}$

$F=\frac{1}{6.74917\times 10^{15}}$

$F_{528/ K}=1.482\times 10^{-16}$

$\frac {F_{528/ K}}{F_{496/ K}}=\frac{1.482\times 10^{-16}}{1.411\times 10^{-17}}=10.5$

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