Question

By what amount must the temperature of 200cm3 of Nitrogen at 27°C be increased to double the pressure if the final volume is 150cm3 (Assume ideality)

A. 150°C
B. 177°C
C. 75°C
D. 120°C

Answer 1

Using Ideal gas law: PV=nRT, P - gas pressure (Pa) , V - gas volume, n - chemical amount of gas (mol), T - temperature of gas (K), R - Gas constant (8,314 J/(mol*K)).

nR=const in this task, so $P_1V_1/T_1=P_2V_2/T_2$

$P_2/P_1=V_1T_2/T_1V_2$

$P_2/P_1=2$ by the task

Express T2: $T_2=2T_1V_2/V_1$

T₁=27oC=300K

T₂=2*300K*150cm³/200cm³=450K=177oC

Answer:177oC