Question

If a gas occupies 79.5 mL at -1.4°C, what temperature, in Kelvin, would it

have if the volume was reduced to 35.3 mL and the pressure is held constant?
constant?

Answer 1

121 K

Step-by-step explanation:

Step 1: Given data

• Initial volume (V₁): 79.5 mL

• Initial temperature (T₁): -1.4°C

• Final volume (V₂): 35.3 mL

Step 2: Convert "-1.4°C" to Kelvin

We will use the following expression.

K = °C + 273.15 = -1.4°C + 273.15 = 271.8 K

Step 3: Calculate the final temperature of the gas (T₂)

Assuming ideal behavior and constant pressure, we can calculate the final temperature of the gas using Charles' law.

V₁/T₁ = V₂/T₂

T₂ = V₂ × T₁/V₁

T₂ = 35.3 mL × 271.8 K/79.5 mL = 121 K