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

Answer:

$206.6\ \text{kPa}$

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

$\dfrac{P_2}{P_1}=\dfrac{T_2}{T_1}\\\Rightarrow P_2=\dfrac{T_2}{T_1}P_1\\\Rightarrow P_2=\dfrac{40+273.15}{30+273.15}\times 200\\\Rightarrow P_2=206.6\ \text{kPa}$

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