It will explode as a type Ia supernova.
When the mass exceeds the Chandrasekhar limit.
The white dwarf (which is made mostly of carbon) suddenly detonates carbon fusion and this creates a white dwarf supernova explosion.
The Chandrasekhar Limit, also called the Chandrasekhar mass, is the point beyond which the "electron degeneracy pressure" within a white dwarf star no longer balances the star's own gravity. It places an upper limit on the possible mass of a white dwarf. If a white dwarf's gravity pulls material away from a neighboring star, adding it to the white dwarf and increasing its mass, the Chandrasekhar mass (roughly 1.4 times the mass of our Sun) can eventually be reached and surpassed. When the balance between electron degeneracy pressure and gravity ends, the force of gravity rapidly collapses the white dwarf, and the resulting pressure and density result in a violent outward explosion that destroys the white dwarf. In Astronomy, this is known as a type Ia supernova. There have been a small number of type Ia supernovae (supernova "2007if" was the second known) which were believed to occur at masses significantly above the Chandrasekhar limit. The prevailing theory is that in these cases, two white dwarves collided, resulting in the limit being abruptly exceeded.
A white dwarf's mass is comparable to that of the Sun while its volume is comparable to that of the Earth. The Sun is 100 times larger than the Earth, so a white dwarf has a mass 100 times greater than the Earth.
A vampire star is any star that "sucks" matter from a close neighbouring star. Typically, it will be a close binary pair, where a white dwarf draws matter off of it's neighbour - normally a red giant - and accretes the matter onto it's surface. This continues until a critical mass is achieved - the Chandrasekhar limit - whereupon the white dwarf explodes as a type Ia supernova.
When the mass exceeds the Chandrasekhar limit.
The white dwarf (which is made mostly of carbon) suddenly detonates carbon fusion and this creates a white dwarf supernova explosion.
Hopefully you mean the Chandrasekhar Limit or Chandra Limit (Named after the Indian born Astrophysicist bearing that name) which states the maximum mass of a White Dwarf Star. If the Star exceeds this limit, then gravity will overcome pressure within the Star and it will collapse into a Neutron Star or Black Hole. See link for further information
The Chandrasekhar Limit, also called the Chandrasekhar mass, is the point beyond which the "electron degeneracy pressure" within a white dwarf star no longer balances the star's own gravity. It places an upper limit on the possible mass of a white dwarf. If a white dwarf's gravity pulls material away from a neighboring star, adding it to the white dwarf and increasing its mass, the Chandrasekhar mass (roughly 1.4 times the mass of our Sun) can eventually be reached and surpassed. When the balance between electron degeneracy pressure and gravity ends, the force of gravity rapidly collapses the white dwarf, and the resulting pressure and density result in a violent outward explosion that destroys the white dwarf. In Astronomy, this is known as a type Ia supernova. There have been a small number of type Ia supernovae (supernova "2007if" was the second known) which were believed to occur at masses significantly above the Chandrasekhar limit. The prevailing theory is that in these cases, two white dwarves collided, resulting in the limit being abruptly exceeded.
It cannot exceed the limit it has or produces
Depending on the distance between the binary pair, it is possible for the white dwarf to draw gas from it's companion causing the star to reach the Chandrasekhar limit causing the white dwarf to explode as a nova or a type La supernova.
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White dwarfs with masses greater than the Chandrasekhar limit, the upper limit upon which white dwarfs can resist their own gravity due to the Pauli Exclusion principle. The currently accepted value of the Chandrasekhar limit is 1.44 solar masses.
Subrahmanyan Chandrasekhar calculated the famous "Chandrasekhar Limit" and did a lot of other seminal work in astrophysics. The Chandra X-ray space observatory was named in his honor.
The Chandrasekhar limit describes the maximum stable mass of a highly compressed type of star called a white dwarf - a collapsed remnant of a star towards the end of its life cycle. This mass limit is about 1.44 times the mass of the sun; above this mass, gravitational force is calculated to overcome the outward pressure and thus precipitate further collapse, for example, into a neutron star. If the neutron star is of sufficient mass it may yet again collapse further, into more exotic states including possibly a black hole. Note that the mass limit of a neutron star (the Tollman-Oppenheimer-Volkoff limit) of around 3-4 solar masses is separate and distinct from the Chandrasekhar limit - you might say that the Chandrasekhar limit is just one of the mass limits along the stellar remnant's evolution into a black hole.
The Oppenheimer Limit is actually known as the Tolman-Oppenheimer-Volkoff Limit and is related to astrophysics. The limit is similar to the Chandrasekhar limit in the sense of limits. The Chandrasekhar is the accurate limit in which electron degeneracy can no longer resist gravity of massive stars of 1.44 stellar masses or more and force the electrons into the protons to become neutrons. The Oppenheimer Limit basically states within a certain mass(Currently unknown exactly!), the neutron will break down into quarks or other subatomic particles, or collapse into a black hole.
By accretion of hydrogen from a nearby star which ignites and starts nuclear fusion in a runaway manner. The explosion is only on the surface of the white dwarf - this is a nova [See related question] If however, it accretes enough hydrogen to push it's mass over the Chandrasekhar limit [See related link] of about 1.38 solar masses, the whole white dwarf will explode as a supernova type Ia [See related link]