The initial temperature of a gas is `100^(@)C`. The gas is contained in closed vessel. If the pressure on the gas is increased by `5%` calculate the increase in temperature of the gas

Options

A. `1^(@)C`
B. `2^(@)C`
C. `4^(@)C`
D. `5^(@)C`

Answer

D

Explanation

Volume of gas is constant
`T_(1)//T_(2) = P_(1)//P_(2)`
`(100)/((100-DeltaT)) = (P)/(1.05P)`
`105P =100P+P*Delta T`
`(5P)/(P)=Delta T = 5^(@)C`.