The electric lamp during manufacture is filled with nitrogen under a pressure of 5.065 * 10 ^ 4Pa

The electric lamp during manufacture is filled with nitrogen under a pressure of 5.065 * 10 ^ 4Pa at a temperature of 288K. What is the temperature of the gas in a burning lamp if the pressure in it has increased to 1.1 * 10 ^ 4 Pa.

Heating the gas in a light bulb is an isochoric process (the volume of gas does not change). For the isochoric process, the ratio is true:
P₂ / P₁ = T₂ / T₁;
From here we express T₂:
T₂ = T₁ × (P₂ / P₁);
In the condition, most likely, it meant that the pressure increased to 1.01 · 10 иначе Pa (otherwise it turns out that the pressure has dropped).
Then we get:
T₂ = 288 * K x (1.1 10⁵ Pa / 5.065 10⁴ Pa) ≈ 574.3 K;
574.3 K = 301.3 degrees Celsius.
Answer: 301.3