JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A cylinder of fixed capacity of \(44.8 \,litres\) contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by \(20.0^{\circ} C\) will be .............. \(J\)(Given gas constant \(R =8.3 \,JK ^{-1}- moI ^{-1}\) )
- A \(249\)
- B \(415\)
- C \(498\)
- D \(830\)
Answer & Solution
Correct Answer
(C) \(498\)
Step-by-step Solution
Detailed explanation
No of moles \(=\frac{44.8}{22.4}=2\) Gas is mono atomic so \(C _{ V }=\frac{3}{2} R\) \(\Delta Q = nC _{ v } \Delta T\) \(=2 \times \frac{3}{2} R (20)\) \(=60 R\) \(=60 \times 8.3\) \(=498 \,J\)
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