Black Hole Temperature Calculator, Formula, Calculation with Example

Black Hole Temperature Calculator :

Enter the Black hole temperature calculator its Mass in weights of the suns(Suns), and Temperature in kelvin(K), and you get the calculator.

Black Hole Temperature Calculator

Block Hole Temperature Equation :

Block hole temperature T(k) in kelvin is equal to the planck constant h(j/s) in joule per second and multiply the cube the speed of light c3(m/s) in meter per second devided by the eight pi 8 *π and multiply the  universal gravitational constant G (Nm2 /kg2) in Newton per meter2 per kilogram2 and multiply the black hole mass M(kg) in kilogram and multiply the the Boltzmann constant Kb(j/k) in joule per Kelvin. Hence the Block hole temperature formula can be written as

T(k)= h(j/s) * c3(m/s) / ( 8 *π * G (Nm2 /kg2) *M(kg) *Kb(j/k))

                                                              Where;

M= Black hole mass

H= Reduced planck constant and its value is 1.0545718001 *10-34 j/s

C = Speed of light in m/s

G = Universal gravitational constant and value is 6.67408 *10-11 Nm2 /kg2

Kb= Boltzmann constant and value is 1.380649 *10-23 j/k

T = Black hole temperature in k

Example:1

Calculate the black hole temperature? In a mass of the black hole is 25 times weight of the sun.

Solution:

Given that;

Mass of the block hole M =25 suns

Black hole temperature is

T= h * c3 / ( 8 *π * G *M *Kb)

T =1.0545718001 *10-34 * (299792458)2 / (8 *π *6.67408 *10-11 *25 *1380649 *10-23)

T =2.4688 *10-09 kelvin

Example:2

Calculate the black hole temperature? In a mass of the black hole is 32 times weight of the sun.

Solution:

Given that;

Mass of the block hole M =32 suns

Black hole temperature is

T= h * c3 / ( 8 *π * G *M *Kb)

T =1.0545718001 *10-34 * (299792458)2 / (8 *π *6.67408 *10-11 *32 *1380649 *10-23)

T =1.92875*10-09 kelvin

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