a bicycle pump contains 50 cubic centimetre of air at 17 dgr clsius and at 1.0 atmsphre prssre . find the prssure when the air is compressed to 10 cbc cm and its temp rises to 27 dgrs clsius?

Question

showing and explaing the method

Answer 1

The gas law states that PV/T is a constant, where P=pressure, V=volume and T=temperature (degrees Kelvin). So P=1 atm, V=50cc and T=17+273=290ºK. The constant is therefore 50/290=5/29.

27ºC=300ºK. So when the parameters are changed we have P=(5/29)*300/10=150/29=5.17atm approx.

The units of volume and pressure are not important but temperature must be measured from absolute zero at -273ºC=0ºK. The answer has to be given in the same units for pressure and volume.