A sample of an ideal gas contained in a cylinder fitted with a frictionless piston…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A sample of an ideal gas contained in a cylinder fitted with a frictionless piston receives 5.00×102 J5.00 \times 10^{2}\,\text{J} of heat from an external source. During the same process the gas expands and does 2.00×102 J2.00 \times 10^{2}\,\text{J} of mechanical work on the surroundings. The gas consists of 4.00 mol4.00\,\text{mol} of molecules. (i) Calculate the change in internal energy of the gas for this process. (ii) State clearly whether the internal energy of the gas increases or decreases. (iii) Determine the heat absorbed per mole in kJ mol−1\text{kJ\,mol}^{-1} up to three significant figures.

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