# If gas at 25.0 °C occupies 360 liters at a pressure of 100 kPa, what will be its volume at a pressure of 2.5O kPa?

Jun 20, 2017

14,400 L

#### Explanation:

Use the formula $\frac{{P}_{1} {V}_{1}}{{T}_{1}} = \frac{{P}_{2} {V}_{2}}{{T}_{2}}$

(where P = pressure, V = volume, and T = temperature in Kelvin)

1. Plug the known values into the formula.

Don't forget to convert 25.0 °C to 298 K (273 + 25).

$\frac{100 \cdot 360}{298}$ = $\frac{2.5 \cdot x}{298}$

2. Since temperature stays constant, we can eliminate the 298 K from the equation!

$\frac{100 \cdot 360}{\cancel{298}}$ = $\frac{2.5 \cdot x}{\cancel{298}}$

3. Solve for x.

$36000 = 2.5 x$
$14400 = x$
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