How to solve this photoelectric equation involving specific heat capacity

In summary, the conversation discusses the necessary parameters and equations to find the rate at which cooling fluid must circulate through an x-ray tube's anode in order to maintain a temperature of 35 degrees Celsius. The equation used is Q = (V*I*N*V*c*m)/(h*Specific Heat Capacity), and after substituting the given values, it is determined that the rate is 17.3 x 10^5 kg/s.
  • #1
Oloruntele
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We have the parameters,current =10^-3A,V=15kv,number of electrons=6.25 X 10^15,velocity=7.3 X 10^7,specific heat capacity of the liquid=2 X 10^3,c=3 X 10^8,h=6.63 X 10^-34,mass of electron = 9.11 X 10^-31. Now the question says,in an x-ray tube having those parameters,find the rate at which cooling fluid entering at 10 degree centigrade must circulate through the anode temperature if the anode temperature is to be maintained at 35 degree centigrade. Neglect box of the kinetic energy which is converted into x-rays.
 
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  • #2
The rate at which cooling fluid must circulate through the anode is given by:Q = (V*I*N*V*c*m)/(h*Specific Heat Capacity)Where Q is the rate at which cooling fluid must circulate through the anode, V is the voltage, I is the current, N is the number of electrons, V is the velocity of the electrons, c is the speed of light, m is the mass of the electron, h is Planck's constant, and Specific Heat Capacity is the specific heat capacity of the liquid.Substituting the given values into the equation, we get:Q = (15000V*10^-3A*6.25 x 10^15*7.3 x 10^7m/s*3 x 10^8m/s*9.11 x 10^-31kg)/(6.63 x 10^-34J*s*2 x 10^3 J/kg*K)Q = 17.3 x 10^5 kg/sTherefore, the rate at which cooling fluid must circulate through the anode is 17.3 x 10^5 kg/s in order to maintain the anode temperature at 35 degree centigrade.
 

FAQ: How to solve this photoelectric equation involving specific heat capacity

What is the photoelectric equation?

The photoelectric equation is a mathematical model that describes the relationship between the energy of a photon and the energy required to remove an electron from a material's surface.

How do I solve the photoelectric equation?

To solve the photoelectric equation, you will need to know the energy of the incident photon, the work function of the material, and the kinetic energy of the emitted electron. You can then use the equation E = hf = Φ + Kmax to solve for the unknown variable.

What is specific heat capacity?

Specific heat capacity is the amount of heat energy required to raise the temperature of one gram of a substance by one degree Celsius. It is expressed in units of joules per gram per degree Celsius (J/g°C).

How does specific heat capacity relate to the photoelectric equation?

Specific heat capacity is not directly related to the photoelectric equation. However, it can be used to calculate the energy of a photon by using the equation E = mcΔT, where m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

What factors affect the solution of the photoelectric equation involving specific heat capacity?

The solution of the photoelectric equation involving specific heat capacity is affected by several factors, including the energy of the incident photon, the work function of the material, the mass and specific heat capacity of the material, and the change in temperature of the material. Other factors such as surface conditions and the intensity of the incident light can also affect the solution.

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