Question

A sample of nitrogen in a rigid container that is originally at 25.0°C and 98.0 kpa is heated until the pressure is 177 kpa. What is the final temp in Kelvin, in degrees celsius

Answer 1

The final temp : 538.2 K = 265.2 °C

Further explanation

Given

Temperature : 25 + 273 = 298 K

Initial Pressure = 98 kPa

Final pressure = 177 kPa

Required

The final temp

Solution

Gay Lussac's Law  

When the volume is not changed, the gas pressure is proportional to its absolute temperature  

$\tt \dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}$

Input the value :

T₂=(P₂.T₁)/P₁

T₂=(177 x 298)/98

T₂=538.2 K