Question

a tank of compressed CO₂ has a temperature of 23.6 c abd a volume of 31.4 l. the CO₂ is transferred to a tank with a volume of 25l. what is the temperature of the CO₂ in the smaller tank? assume that no gas was lost during the transfer

Answer 1

Using the Combined Gas Law, the temperature of CO₂ in the smaller tank is found to be approximately -36.663°C.

Step-by-step explanation:

To find the temperature of the CO₂ in the smaller tank, we can use the Combined Gas Law which suggests that for a fixed amount of gas kept at constant pressure, the ratio of its initial volume and temperature will be equal to its final volume and temperature (when volume changes).

Mathematically, this is represented as (V₁/T₁) = (V₂/T₂), where V is the volume and T is the temperature in Kelvin (K).

First, convert the given temperature to Kelvin: T₁ = 23.6 °C + 273.15 = 296.75 K.

Then, we have V₁ = 31.4 L and V₂ = 25 L. Inserting these into our equation and solving for T₂ gives:

296.75 K × (25 L / 31.4 L) = T₂

T₂ comes out to approximately 236.487 K, which when converted back to Celsius gives us T₂ ≈ -36.663 °C

Thus, the temperature of the CO₂ in the smaller tank is around -36.663 °C.