### 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.

### 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 c^{3}_{(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 meter^{2 }per kilogram^{2} 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)} * c^{3}_{(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} Nm^{2} /kg^{2}

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 * c^{3} / ( 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 * c^{3} / ( 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