Question

A syringe with a maximum volume of 60.0 cm cubed takes in a 14.5 cm cubed sample of oxygen gas at 23.3 degrees celsius. What maximum variation in temperature does the oxygen undergo before the piston is completely pushed out of the syringe

Answer 1

From Charles law expression of an ideal gas;

$V_1\over T_1$ $=$ $V_2\over T_2$

$V_1=14.5cm^3$

$V_2=60.0cm^3$

$T_1=23°C$

$T_2=unknown$

$\therefore$ $T_2=$ $V_2\times T_1\over V_1$

$T_2=$ $60.0cm^3\times 23.0°C\over 14.5cm^3$

$T_1=95.17°C$

The variation in temperature$=95.17°C-14.5°C=80.67°C$