JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature \(50^{\circ} C\). The gas is now heated to double its temperature. The modified pressure is _________ Pa .
- A 3730
- B 6460
- C 3230
- D 4000
Answer & Solution
Correct Answer
(A) 3730
Step-by-step Solution
Detailed explanation
As per NTA \(V =\) constant so \(P \propto T\) \(T _{ i }=50^{\circ} C =323 K\) \(T _{ f }=100^{\circ} C =373 K\) \(\Rightarrow \frac{ P _{ f }}{ P _{ i }}=\frac{ T _{ f }}{ T _{ i }}\) \(\Rightarrow \frac{ P _{ f }}{3.23 kPa }=\frac{373}{323}\) \(\Rightarrow P _{ f }=3730 Pa\)
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