Question

A gas occupies a certain volume at 27 degree celcius.If it is heated at constant pressure, its volume is exactly doubled at a temperature of --------------------

Answer 1

Question#21060

A gas occupies a certain volume at 27 degree celcius. If it is heated at constant pressure, its volume is exactly doubled at a temperature of ---

Solution:

Let:

$$T _ {1} = 2 7 {}^ {\circ} \mathrm {C} = 3 0 0 K$$ $$P _ {2} = 2 P _ {1}$$ $$T _ {2} - ?$$ $$\frac {P _ {1}}{T _ {1}} = \frac {P _ {2}}{T _ {2}}$$ $$T _ {2} = \frac {P _ {2} * T _ {1}}{P _ {1}} = 2 T _ {1}$$ $$T _ {2} = 2 * 3 0 0 = 6 0 0 K = 3 2 7 {}^ {\circ} \mathrm {C}$$

Answer: 600K or $327{}^{\circ}\mathrm{C}$.