Answer:
More air will enter the room since the volume of the room increases.
Explanation:
We'll begin by calculating the initial volume (V₁) of the room. This can be obtained as follow
Length (L) of room = 4 m
Initial volume (V₁) =..?
V₁ = L³
V₁ = 4³
V₁ = 64 m³
Next, we shall determine if there is an increase in the volume of the room or not. This can be obtained as follow:
Data obtained from the question include:
Initial volume (V₁) = 64 m³
Initial temperature (T₁) = 10 °C + 273 = 283 K
Final temperature (T₂) = 30 °C + 373 = 303 K
Initial pressure (P₁) = 760 mmHg
Final pressure (P₂) = 718 mmHg
Final volume (V₂) =?
P₁V₁/T₁ = P₂V₂/T₂
760 × 64 / 283 = 718 × V₂ / 303
48640 / 283 = 718 × V₂ / 303
Cross multiply
283 × 718 × V₂ = 48640 × 303
203194 × V₂ = 14737920
Divide both side by 203194
V₂ = 14737920 / 203194
V₂ = 72.53 m³
SUMMARY
Initial volume (V₁) of room = 64 m³
Final volume (V₂) of room = 72.53 m³
From the calculations made above, we can see that the volume of the room increases from 64 m³ to 72.53 m³. Thus more air will enter the room since the volume of the room increases.
