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A metal M (specific heat 0.16) forms a m...

A metal M (specific heat 0.16) forms a metal chloride with a 65% chorine present in it. The formula of the metal chloride will be

A

MCl

B

`MCl_(2)`

C

`MCl_(3)`

D

`MCl_(4)`

Text Solution

Verified by Experts

The correct Answer is:
B

According to Dulong-Petits law:
Approx. at mass `xx` sp. Heat = 6.4 (actually `6.4 +- 0.6`)
`therefore` At. Mass (approx) `=6.4/(0.16 = 40`
Suppose, formula of the chloride `=MCl_(x)`
`therefore` Chlorine in it `=(35.5x xx 100)/(40 + 35.5 x)%`
So, according to the question
`(35.5x)/(40 + 35.5x) = 65/100 rArr 40/(35.5x) + 1= 100/65`
`rArr 35.5 x = (40 xx 13)/7`
`rArr x = 2.09 =2`
`therefore` Formula of the metal chloride `=MCl_(2)`
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