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Comprehension II
Recent communications with the inhabitants of Neptune have revealed that they have a Celsius type temperature scale, but it is based on the melting point \( \left(0^{\circ} \mathrm{N}\right) \) and boiling point \( \left(100^{\circ} \mathrm{N}\right) \) of their most common substance, hydrogen. Further communications have revealed that the Neptunians know about perfect gas behaviour and that they find in the limit of zero pressure, the value of \( P V_{\mathrm{m}} \) is \( 28 \mathrm{~L}- \) atm at \( 0^{\circ} \mathrm{N} \) and \( 40 \mathrm{~L}- \) atm at \( 100^{\circ} \mathrm{N} \).
What is the volume occupied by 2 moles of a perfect gas at \( 2 \mathrm{~atm} \) and \( 66.67^{\circ} \mathrm{N} \) ?
(a) \( 36 \mathrm{~L} \)
(b) \( 24.6 \mathrm{~L} \)
(c) \( 20.0 \mathrm{~L} \)
(d) \( 8.0 \mathrm{~L} \)
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