At constant pressure and 25 °C a sample of gas occupies 4.5 liters. At what temperature will the gas occupy 9.0 liters?

Question

At constant pressure and 25 °C a sample of gas occupies 4.5 liters. At what temperature will the gas occupy 9.0 liters?

1 Answer

Impact of this question

22432 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-12-07T18:24:14

The answer is $596.3 K$ $596.3K$ .

This is a simple example of Charles' law

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ $V_1/T_1 = V_2/T_2$ ,

which states that the volume of a gas is directly proportional to its temperature in K.

We know $V_{1}$ $V_1$ = $4.5 L$ $4.5 L$ , $T_{1} = (25 + 273.15) = 298.15 K$ $T_1 = (25 + 273.15) = 298.15K$ , and $V_{2}$ $V_2$ = $9 L$ $9 L$ , therefore

$T_{2} = \frac{V_{2}}{V_{1}} \cdot T_{1} = \frac{9}{4.5} \cdot 298.15 = 596.4 K$ $T_2 = V_2/V_1 * T_1 = 9/4.5 * 298.15 = 596.4K$ -> double the volume translates to double the temperature, and vice versa.

Science

Math

Humanities

... and beyond

At constant pressure and 25 °C a sample of gas occupies 4.5 liters. At what temperature will the gas occupy 9.0 liters?

1 Answer

Related questions

Impact of this question