Question

A gas occupies a certain volume at 27 degree centigrate.at wat temperature will it's volume be 3 times the original volume assuring it's pressure remains constant

Answer 1

Answer on Question #38727

Physics - Molecular Physics | Thermodynamics

Question:

A gas occupies a certain volume at 27 degree centigrade. at wat temperature will it's volume be 3 times the original volume assuring it's pressure remains constant

Solution:

We have

$$V _ {1} = \frac {V _ {2}}{3},$$ $$T _ {1} = 2 7 {}^ {\circ} C \equiv 3 0 0 K$$

Gay-Lussac's law:

$$\frac {V _ {1}}{T _ {1}} = \frac {V _ {2}}{T _ {2}} \Rightarrow T _ {2} = T _ {1} \frac {V _ {2}}{V _ {1}} = 9 0 0 K \equiv 6 2 7 {}^ {\circ} C$$

Answer:

$$9 0 0 K \equiv 6 2 7 {}^ {\circ} C.$$