Question

Calculate the final temperature, in degrees Celsius, for each of the following, if n and V do not change.

A sample of air at 50. ∘C and 790. mmHg is cooled to give a pressure of 740. mmHg.

Answer 1

Answer:

From the gas laws we know that

$$\frac {P _ {1} \cdot V _ {1}}{T _ {1}} = \frac {P _ {2} \cdot V _ {2}}{T _ {2}}.$$

From the condition of the task we also know that volume doesn't change $V_{1} = V_{2}$

Than formula will be

$$\frac {P _ {1}}{T _ {1}} = \frac {P _ {2}}{T _ {2}}$$

P₁ = 790. mmHg P₂ = 740. mmHg. T₁ = 50 °C

$$T _ {2} = \frac {P _ {2} \cdot T _ {1}}{P _ {1}}$$

T₂ = 46,8 °C

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