Answer to Question #120806 in Molecular Physics | Thermodynamics for davida

Question

A mole of gas has a volume of 10 m3 and a temperature of 300 K. At condition when pressure and temperature are constant, work has been done to compress the gas so that the volume is 5 m3. calculate the temperature and pressure of the gas at the end of the process.

Answer 1

first let's calculate the initial pressure by PV=nRT

$P\times10=1\times8.3\times300\\P=2490\ pascals$

Temperature being constant here which means we can apply boyle's law

PV= constant

$P_1V_1=P_2V_2\\$

$2490\times10=P_2\times5\\P_2=1245\ pascals$