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COMEDK · Physics · 13. Thermodynamics

A cylinder of fixed capacity 44.81 contains hydrogen gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(20^{\circ} \mathrm{C}\) ? (\(R=8.31 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\))

  1. A 374 J
  2. B 831 J
  3. C 743 J
  4. D 541 J
Verified Solution

Answer & Solution

Correct Answer

(B) 831 J

Step-by-step Solution

Detailed explanation

At STP, the volume of 1 mole of an ideal gas is \(22.4 \text{ L}\). Given the volume of the cylinder is \(44.8 \text{ L}\), the number of moles \(n\) of hydrogen gas is \(n = \dfrac{44.8}{22.4} = 2 \text{ moles}\). Hydrogen is a diatomic gas, so its molar heat capacity at…