Question

A large cylindrical tank contains `0.750 m^3` of nitrogen gas at `276@ C and 1.50 xx 10^5 Pa` (absolute pressure). The tank has a tightfitting piston that allows the volume to be changed. What will be the pressure if the volume is decreased to `0.480 m^3` and the temperature is increased to `157^@ C`.

Answer 1

Correct Answer - A::C
`n_1 = n_2`
`:. (p_1 V_1)/(R T_1) = (P_2V_2)/(R T_2) or p_2 =((V_1)/(V_2))((T_2)/(T_1))p_1`
=`((0.75)/(0.48))((273 + 157)/(273 +27))(1.5 xx 10^5)`
= `3.36 xx 10^5 Pa`.