Question

A gas is collected at 30 Celsius and has a pressure of 200 kPa. What pressure would it exert if the temperature changed to 40 Celsius?

Answer 1

`206.6\ \text{kPa}`

Step-by-step explanation:

`P_1` = Initial pressure = 200 kPa

`P_2` = Final pressure

`T_1` = Initial temperature =
`30^(\circ)\text{C}`

`T_2` = Final temperature =
`40^(\circ)\text{C}`

We have the relation

`(P_2)/(P_1)=(T_2)/(T_1)\\\Rightarrow P_2=(T_2)/(T_1)P_1\\\Rightarrow P_2=(40+273.15)/(30+273.15)* 200\\\Rightarrow P_2=206.6\ \text{kPa}`

The pressure that would be exerted after the temperature change is
`206.6\ \text{kPa}`.