Question

A 12.0L sample of gas is compressed into a tank at 25°C and 4 atm. It is emptied into another storage tank at 3 atm. What do you expect the final temperature of the gas to be at its final volume?

Answer 1

Answer on Question #48291, Chemistry, Other

**Task:**

A 12.0 L sample of gas is compressed into a tank at 25°C and 4 atm. It is emptied into another storage tank at 3 atm. What do you expect the final temperature of the gas to be at its final volume?

**Answer:**

The only components which will be unchangeable in this process are the amount of moles and volume of gas.

$$pV = vRT$$ $$v = \frac{pV}{RT} = \frac{4 \cdot 12}{8,314 \cdot (25 + 273)} = 0,02 \text{ mol}$$ $$T = \frac{p_1 V}{v R} = \frac{3 \cdot 12}{0,02 \cdot 8,314} = 216,5 \text{ K}$$ $$t = 216,5 - 273 = -56,5^\circ \text{C}$$

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