IOM 2018, Блиц, английски — Задача 65

OLYMPIAD OF METROPOLISES. Moscow, September 3 · 3 септември 2018 г.

Условие

A container $A$ of a volume 100 cm$^3$ is filled with an ideal gas at a pressure of $12\ \cdot 10^5$ Pa while a container $B$ of a volume 400 cm$^3$ is empty. The containers $A$ and $B$ are connected by a tube of negligible volume with a tap $T$ controlling a gas flow, it is initially closed. The temperature of the containers is maintained at 0°C by two separate water baths filled with melting ice. The tap $T$ is then opened and an equilibrium state is reached. Peter heats the bath of container $A$ until water boils. Find the net amount of gas, in millimoles, that passed through the connecting tube during the heating. (The gas constant is 8.31 J/(K·mol), the Avogadro constant is $6.02\ \times 10^{23}$ mol$^{-1}$, and the mass of a molecule of the ideal gas is $m = 4.52\ \times 10^{-26}$ kg.)

The answer should be given in the SI units unless otherwise stated. If the numerical result turns out to be an integer, it should be given as the answer. Otherwise round the result to the first decimal. $g = 10\ \mathrm{m/s^2}$.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: blitz-answers.pdf