Initial temperature of an ideal gas is `75^(@)C.` At what temperature, the sample of neon gas would be heated to double its pressure, if the initial volume of gas is reduced by 15%?

Options

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

Answer

A

Explanation

`P_1 = P, V_1 = V, T_1 = 273 + 75 = 348K`
`P_2 = 2P , V_2 = 85/100 V, T_2 = ?`
`(P xx V)/(348) = (2P xx 85V)/(T_2 xx 100) rArr T_2 = (348 xx 2 xx 85)/(100)`
`therefore T_2 = 591.6K = 318.6^@C`