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

P₁=605 torr

T₁=20 + 273 = 293 K

P₂=6050 torr

`\tt T_2=(T_i* P_2)/(P_1)\\\\T_2=(293* 6050)/(605)\\\\T_2=2930~K=2657~^oC`