Which of the following expression represents correctly the variation of density of an ideal gas with change in temperature ?

Options

A. `d_(2)=(P_(2)T_(1)d_(1))/(P_(1)T_(2))`
B. `d_(2)=(d_(1)T_(1))/(T_(2))`
C. `d_(2)=(d_(1)T_(2))/(T_(1))`
D. `d_(2)=(d_(1)P_(2)T_(2))/(P_(1)T_(1))`

Answer

A

Explanation

M=`(dRT)/(P)` For a particular gas M=constant.
Hence, `(d_(1)RT_(1))/(P_(1))=(d_(2)RT_(2))/(P_(2))" ""or" " "d_(2)=(P_(2)T_(1)d_(1))/(P_(1)T_(2))`