volume of a gas at 7°C is 400ml. What volume of is expelled when it is heated to 27°C ? Pressure is constant
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Answer:
v1/t1=V2/t2
400/(273+7)k=v^2/(273+27)k
V2=482.6cm^3
482.6-400=28.6cm^3
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We have :-
→ Initial temperature (T₁) = 27°C
→ Final temperature (T₂) = 127°C
→ Initial volume (V₁) = 400 mL
→ Pressure is constant .
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Firstly let's convert the units of initial and final volume from °C to K .
Initial volume :-
⇒ 0°C = 273 K
⇒ 27°C = 27 + 273
⇒ 300 K
Final volume :-
⇒ 127°C = 127 + 273
⇒ 400 K
________________
Now according to Charle's Law, we know that :-
V₁/T₁ = V₂/T₂ [Constant pressure]
⇒ 400/300 = V₂/400
⇒ 4/3 = V₂/400
⇒ V₂ = (400 × 4)/3
⇒ V₂ = 1600/3
⇒ V₂ = 533.33 mL
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