Question

At 47c a gas has a pressure of 140kpa. The gas is cooled until the pressure decreases to 105kpa. If the volume remains constant, what will the final temperature be in kelvin’s? In degrees Celsius

Answer 1

The final temperature is equal to 240 K or -33.15°C

Step-by-step explanation:

Given that,

Initial temperature of the gas, T₁ = 47°C = 320 K

Initial pressure, P₁ = 140 kpa

Final pressure, P₂ = 105 kpa

We need to find the final temperature if the volume remains constant. The relation between temperature and pressure is given by :

`P\propto T`

or

`(P_1)/(P_2)=(T_1)/(T_2)\\\\T_2=(P_2T_1)/(P_1)\\\\T_2=(105* 320)/(140)\\\\T_2=240\ K\\\\T_2=-33.15^(\circ) C`

So, the final temperature is equal to 240 K or -33.15°C.