Air pressure at different room temperatures

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Homework Statement


We did a physics practical in which a sealed syringe is compressed and pressure and volume of air inside is recorded. Given P=k/v, the gradient of the graph of P against 1/v is the constant,k. How would the value of k change if the same experiment is conducted at a higher room temperature?

Homework Statement


PV=k

The Attempt at a Solution


I know that in an enclosed space, air pressure increases as temperature increases. But does this also apply when talking about room temperature? Due to the expansion of the air, the density decreases right? So does room temperature increase or decrease? Any help is much appreciated.
 
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Apologies, I wanted to ask if air pressure increase or decrease when room temperature increases?