If we push a syringe with gas in it In space , would its temperature increase permanently , Violating Boyles Law? On Earth 
        If we push a gas syringe very fast  Inwards , work is done on the gas by
W = PV
which increases the Kinetic energy of molecules in it and since Temperature is Average Kinetic Energy thus Temperature increases However  due to neighbouring atoms(around syringe) the kinetic energy is conducted outwards until Thermal Equilibrium is reached and this is how Boyles Law is maintained 
But In space there is no air , so the Temperature would Increase Permanently 
Hence Violating Boyles law , 
So my question is If my conclusion is correct, do gas Laws only work where there is AIR ?       
 A: Boyle's law states that for an isothermal process suffered by an (ideal) gas the pressure is inverse proportional to the volume (or PV=constant).
A violation of Boyle's law means that you have an isothermal process in a gas and the pressure and volume have a different relationship than PV=constant.
If you have a non-isothermal process, there is no violation of Boyle's law, no matter what kind of relationship you have. Actually if the process is not isothermal, Boyle's law has nothing to do with it. 
A: Boyle's law is just a special case of the ideal gas equation, for an isothermal change. But you are putting too much emphasis on air and surroundings. This just means: Boyle's law holds, if the change is isothermal - usually that means you have some type of heat exchange that keeps the temperature constant when you are changin volume - it could be heat condution with outside gas, or a hot piston, or water bath, or kept constant with electric heater, or by exchange of thermal radiation through vacuum. It doesn't matter.
In thermodynamics, your "system" is always the only thing you care about. It's exchanging work and heat with surroundings, but the laws hold for the system regardless of the nature of environment and howe work and heat are passed in and out. There is nothing special about a piston in space. It's the same as just having an insulated piston. If we ignore other means of heat exchange, the change will not be isothermal, but adiabatic (if it's done reversibly). So Boyle's law is useless. You need the whole ideal gas equation and the details of the adiabatic process (the ratio of specific heats). So the result is increase in temperature, just like you would expect in any adiabatic change. It happens in your car's pistons, too.
A: This will happen only if the container in which gas is present conducts 0 heat. This means that their is no exchange of heat from inside to outside. This will also happen on earth if we use that type of container and it is not the violation of boyle's law
