An ideal gas is allowed to expands from volume V to 2V
according to the law VP2 = Constant. If initial temperature of
the gas is 'T' then its final temperature will be
А) T
B) T√2
C)T/√2
D) 2T
Answers
Answered by
5
Given:
Initial volume, V₁ = V
Final volume, V₂ = 2 V
Relation --> VP² = Constant
Initial temp, T₁ = T
To Find:
The final temperature of the gas, i.e., T₂.
Calculation:
- For 1 mole of gas,
PV = RT
⇒ P = RT/V
- Putting it in the given relation, we get:
V (RT/V)² = Constant
⇒ T²/V = Constant
- Now using this relation, we get:
T₁²/V₁ = T₂²/V₂
⇒ T²/V = T₂²/2 V
⇒ T₂² = 2 T²
⇒ T₂ = T√2
- So the final temperature will be T√2.
- Hence the correct answer is option (B) T√2.
Answered by
1
Answer:
B
Explanation:
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