Answer:
243 K.
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial volume (V₁) = 0.2 L
Initial temperature (T₁) = 270 K
Final volume (V₂) = 0.18 L
Final temperature (T₂) =?
The final temperature of the gas can be obtained by using the Charles' law equation as illustrated below:
V₁ / T₁ = V₂ / T₂
0.2 / 270 = 0.18 / T₂
Cross multiply
0.2 × T₂ = 270 × 0.18
0.2 × T₂ = 48.6
Divide both side by 0.2
T₂ = 48.6 / 0.2
T₂ = 243 K
Thus, the final temperature of the gas is 243 K