Question

Using the same sample of gas (P1 = 605 torr , T1 = 20 ∘C ), we wish to change the pressure to 6050 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure?

Answer 1

Temperature to reach the pressure : 2657 °C

Further explanation

Gay Lussac's Law  

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

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

P₁=605 torr

T₁=20 + 273 = 293 K

P₂=6050 torr

$\tt T_2=\dfrac{T_i\times P_2}{P_1}\\\\T_2=\dfrac{293\times 6050}{605}\\\\T_2=2930~K=2657~^oC$