750 ml of a gas is collected at a pressure of 80 cm.Hg and at 40oC. To what temperature should it be cooled so that its volume becomes 500ml at 1 atm pressure.
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198.73 K
Explanation:
Given: V₁ = 0.75 L, P₁ = 80/76 = 1.05 atm, T₁ = 313 k
V₂ = 0.5 L, P₂ = 1 atm, T₂ = ?
We know that,
PV= nRT
∴P₁V₁=T₁
P₂V₂=T₂
T₂ = P₂V₂T₁/P₁V₁
= 1 × 0.5 × 313/1.05 × 0.75
= 198.73 K
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