Question

A sealed container at 25oC contains a gas at a pressure of 104 kPa. What is the pressure of the gas when it is heated to 225oC?

1. 304 kPa
2. 936 kPa
3. 174 kPa
4. 62.2 kPa

Answer 1

174 kPa

Step-by-step explanation:

Given that,

Initial temperature, T₁ = 25° C = 25+273 = 298 K

Final temperature, T₂ = 225°C = 225 + 273 = 498 K

Initial pressure, P₁ = 104 kPa

We need to find the new pressure. The relation between the temperature and pressure is given by :

`(P_1)/(T_1)=(P_2)/(T_2)`

So,

`P_2=(P_1T_2)/(T_1)\\\\P_2=(104* 498)/(298)\\\\P_2=173.79\ kPa`

or

P₂ = 174 kPa

So, the new pressure is 174 kPa.