Calcium carbonate, marble and limestone all have same chemical formula but diffrent names and physical properties why

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Solution

$D e a r S t u d e n t C a l c i u m c a r b o n a t e i s a w h i t e, o d o u r l e s s p o w d e r w h i c h i s i n s o l u b l e i n w a t e r . L i m e s t o n e a n d m a r b l e a r e d i f f e r e n t o n b a s i s o f t h e i r f o r m a t i o n b e c a u s e l i m e s t o n e i s a s e d i m e n t a r y r o c k a n d m a r b l e i s a m e t a m o r p h i c r o c k . M a r b l e i s h a r d e r a n d d e n s e r t h a n l i m e s t o n e . T h e f o r m u l a f o r a l l t h r e e i s s a m e i . e ., C a C O_{3} . R e g a r d s$

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Why is chemical equation is calcium carbonate and marble the same?

Different allotropic forms of an element have different chemical properties but same physical properties.

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