Two identical friction-less pistons slide in separate vertical cylinders so that each…

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

Problem

Two identical friction-less pistons slide in separate vertical cylinders so that each gas sample inside experiences the same constant pressure of

1.00\times10^{5}\,\text{Pa}

. Cylinder A contains

2.0\,\text{L}

of nitrogen at

270\,\text{K}

, while cylinder B contains

3.0\,\text{L}

of helium at

330\,\text{K}

. (i) To what temperature must the gas in cylinder A be heated, at the same pressure, so that its volume becomes equal to the initial volume of the gas in cylinder B? (ii) Keeping the pressure unchanged, to what volume will the gas in cylinder B contract if it is cooled to

270\,\text{K}

? (iii) State whether the numerical answers in parts (i) and (ii) depend on the chemical nature of the gases involved. Justify briefly.

Related theory

Gaseous State
States of Matter
Charles' law
Ideal Gas Law
Ideal gas equation

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