To what temperature must a neon gas sample be heated to double its pressure, if the initial volume of gas at `75^(@)C` is decreased by 15.0% by cooling the gas

Options

A. `319^(@)C`
B. `592^(@)C`
C. `128^(@)C`
D. `60^(@)C`

Answer

A

Explanation

`T_(1) = 75^(@)C = 75 + 273 = 348 K`
Let `V_(1) = V " and " V_(2) = (85V)/(100)`
`(V_(1))/(T_(1)) = (V_(2))/(T_(2))`
`T_(2) = (V_(2)T_(1))/(V_(1)) = (85V xx 348)/(100 xx V)`
`= 295.8 K`
`P_(1) = P " " P_(2) = 2P`
`T_(1) = 295.8 K " " T_(2) = ?`
`(P_(1))/(T_(1)) = (P_(2))/(T_(2))`
`T_(2) = (P_(2)T_(1))/(P_(1)) = (2P xx 295.8)/(P)`
`= 591.6 K`
`= (591.6 - 273) .^(@)C = 318.6^(@)C`
`~~ 319^(@)`