Question

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 an ideal gas equation$PV=nRT$

Where $P$ ( gas pressure), $n$ (molar amount of gas),$V$ (volume of gas), $T$ ( Temperature in $(K)$ )and $R$ ( Gas constant$(8,134J/mol/K)$ )

${P_1V_1}\over T_1$ $=$ ${P_2V_2}\over T_2$

$P_2\over P_1$ $=$ ${V_1T_2}\over {T_1V_2}$

$P_2\over P_1$ $=$ $2$

$T_2=$ ${2T_1V_2}\over V_1$

$T_1=27°C(300K)$

$T_2=$ ${2*300K*150cm^3}\over 200cm^3$

$=450K=177°C$

The answer is B