Answer:
23 L
Explanation:
We'll begin by converting celsius temperature to Kelvin temperature. This can be obtained as follow:
T(K) = T(°C) + 273
Initial temperature (T₁) = 100 °C
Initial temperature (T₁) = 100 °C + 273
Initial temperature (T₁) = 373 K
Final temperature (T₂) = 50.5 °C
Final temperature (T₂) = 50.5 °C + 273
Final temperature (T₂) = 323.5 K
Finally, we shall determine the initial volume of gas. This can be obtained as follow:
Initial temperature (T₁) = 373 K
Final temperature (T₂) = 323.5 K
Final volume (V₂) = 20 L
Initial volume (V₁) =?
V₁/T₁ = V₂/T₂
V₁ / 373 = 20 / 323.5
Cross multiply
V₁ × 323.5 = 373 × 20
V₁ × 323.5 = 7460
Divide both side by 323.5
V₁ = 7460 / 323.5
V₁ = 23 L
Thus, the original volume of the gas is 23 L
