A cylinder fitted with a frictionless piston contains nitrogen gas at STP

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

A cylinder fitted with a frictionless piston contains nitrogen gas at STP. The initial volume of the gas is 2.24 L2.24\,\text{L}. The gas is slowly heated at constant pressure until its temperature reaches 546 K546\,\text{K}. Take molar mass of N2=28 g mol−1\text{N}_{2}=28\,\text{g\,mol}^{-1}. (a) Determine the initial mass of nitrogen present in the cylinder. (b) Calculate the final volume of the gas after heating. (c) Compute the work done by the gas during this expansion, expressing your answer in joules. (Take 1 atm=1.013×105 Pa1\,\text{atm}=1.013\times10^{5}\,\text{Pa}.)

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