Answer to Question #252137 in Molecular Physics | Thermodynamics for local boy

Question

a constant volume gas thermometer exerts an absolute pressure of 1000Pa at room temperature. if the pressure has been increased to 1500Pa. what will be the new temperature?

Answer 1

The Charles's law (constant volume processes) says

$$\frac{P_1}{T_1}=\frac{P_2}{T_2}$$

Hence, the final temperature

$$T_2=\frac{P_2}{P_1}T_1=\frac{1500\:\rm Pa}{1000\:\rm Pa}(20+273)=440\:\rm K=166^{\circ}C$$