a sample of gas under 3K Pa pressure has a volume of 13 L at 56.12 Kelvin. if the pressure is increased to 70 kPa the volume would decrease to 7 liters what would be the new temperature

The new temperature would be 705.1 K.

Explanation:

Given dа ta:

Initial pressure = 3 kpa

Initial volume = 13 L

Initial temperature = 56.12 K

Final pressure = 70 Kpa

Final volume = 7 L

Final temperature = ?

Solution:

To solve this problem we will use the general gas equation.

P₁V₁/T₁ = P₂V₂/T₂

T₂ = P₂V₂ T₁ / P₁V₁

T₂ = 70 Kpa. 7 L. 56.12 K / 3 Kpa. 13 L

T₂ = 27498.8 / 39

T₂ = 705.1 K