Question #75815

A sample of helium gas with a pressure of 260 Torr at 0 ∘C is heated to give a pressure of 1600 Torr. Calculate the final temperature, in degrees Celsius, for each of the following, if n and V do not change.

Expert's answer

Answer on Question #75815, Chemistry / General Chemistry

A sample of helium gas with a pressure of 260 Torr at 0 °C is heated to give a pressure of 1600 Torr. Calculate the final temperature, in degrees Celsius, for each of the following, if n and V do not change.

Solution

If V is constant, then according to Charles's law:


P1T1=P2T2; or P1T2=P2T1\frac {P _ {1}}{T _ {1}} = \frac {P _ {2}}{T _ {2}}; \text{ or } P _ {1} T _ {2} = P _ {2} T _ {1}T2=P2T1P1=1600×273260=1680(K)=1407(C)T _ {2} = \frac {P _ {2} T _ {1}}{P _ {1}} = \frac {1 6 0 0 \times 2 7 3}{2 6 0} = 1 6 8 0 (K) = 1 4 0 7 (^ {\circ} C)


Answer

A sample of helium gas with a pressure of 260 Torr at 0 °C is heated to 1407°C to give a pressure of 1600 Torr.

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