Question

A container of carbon dioxide (CO2) has an initial temperature of 170 K with a pressure of 50 kPa. When the container is heated the pressure is measured at 283 kPa. The volume is constant at 12 L throughout. What is the final temperature of the carbon dioxide (CO2)?

Answer 1

Answer: T2= 962.2 K

Step-by-step explanation:

The ideal gases is often written like PV=nRT, where P is pressure, V is volume, n is moles, R is the universal constant of the gases and T is Temperature.

So, in this problem there is a container that is a closed system, therefore n is constant and volume too. The initial point is 1 and the final point is 2, so

V1=V2 ⇒

`(n1RT1)/(P1) = (n2RT2)/(P2) \\\\(T1)/(P1) = (T2)/(P2) \\\\T2= (T1P2)/(P1) =(170 K 283KPa)/(50 KPa) =962.2 K`