Chapter 37: 44P (page 1148)

In the reaction $p + {}^{19}F \to α + {}^{16}O$ , the masses are m(p) = 1.007825 u, m(a) = 4.002603 u, m(F) = 18.998405 u, m(O) = 15.994915 u. Calculate the Q of the reaction from these data.

Short Answer

Expert verified

The Q value of the reaction is 8.12 MeV.

Step by step solution

Identification of given data

The mass of Fluorine nuclei is $m (F) = 18.998405 u$

The mass of Oxygen nuclei is $m (O) = 15.994915 u$

The mass of proton is $m (p) = 1.007825 u$

The mass of alpha particle is $m (α) = 4.002603 u$

The Q value of the reaction is the energy released due to the mass defect from reactant and products in reaction.

Determination of Q value of the reaction

The Q value of the reaction is given as:

$Q = [(m (p) + m (F)) - (m (α) + m (O))] c^{2}$

Here, c is the speed of light and its value in terms of mass and energy is 931.5 MeV/u

Substitute all the values in the above equation.

$E = [(1.007825 u + 18.998405 u) - (4.002603 u + 15.994915 u)] (\frac{931.5 MeV}{u}) E = 8.12 MeV$

Therefore, the Q value of the reaction is 8.12 MeV.

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In the reaction $p + {}^{19}F \to α + {}^{16}O$ , the masses are m(p) = 1.007825 u, m(a) = 4.002603 u, m(F) = 18.998405 u, m(O) = 15.994915 u. Calculate the Q of the reaction from these data.

Short Answer

Step by step solution

Identification of given data

Determination of Q value of the reaction

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In the reaction p+F19→α+O16, the masses are m(p) = 1.007825 u, m(a) = 4.002603 u, m(F) = 18.998405 u, m(O) = 15.994915 u. Calculate the Q of the reaction from these data.

Short Answer

Step by step solution

Identification of given data

Determination of Q value of the reaction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Engineering Physics

Electricity

Conservation of Energy and Momentum

Torque and Rotational Motion

Classical Mechanics

Study anywhere. Anytime. Across all devices.

In the reaction $p + {}^{19}F \to α + {}^{16}O$ , the masses are m(p) = 1.007825 u, m(a) = 4.002603 u, m(F) = 18.998405 u, m(O) = 15.994915 u. Calculate the Q of the reaction from these data.