Pressure remaining the constant, the volume of a given mass of an ideal gas increases for every degree centigrade rise in temperature by definite fraction of its volume at:

Options

A. 1/T
B. `1//T^(2)`
C. T
D. `T^(2)`

Answer

A

Explanation

According to the ideal gas law,
`rArrpVRT=V=[(R)/(p)]T`
`rArrVpropT rArr(V_(1))/(V_(2))=(T_(1))/(T_(2))or (V_(2))/(V_(1))-1=(T_(2))/(T_(1))-1`
`rArr(V_(2)-V_(1))/(V_(1))=(T_(2)-T_(1))/(T_(1))rArr(V_(2)-V_(1))/(V_(1))=(1)/(T_(1))=1/T`