Answer to Question #108030 in Astronomy | Astrophysics for Priya jaiswal

Question #108030
A white drawf star has a mass 10^30 kg. It's luminosity is 10^24j/s. Calculate how long it can survive with its present luminosity if it's internal temperature is 10^7k .
1
Expert's answer
2020-04-06T08:56:23-0400

The mass measured in solar masses:


M=0.5M.M=0.5M_☉.

The luminosity measured in solar luminosities:


L=10243.8281026L=0.0026L.L=\frac{10^{24}}{3.828\cdot10^{26}}L_☉=0.0026L_☉.

The lifetime measured in solar lifetimes is:


t=ML=0.5M0.0026L=192t,t=\frac{M}{L}=\frac{0.5M_☉}{0.0026L_☉}=192t_☉,

or


t=1.921012 years.t=1.92\cdot10^{12}\text{ years}.

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