# At what Kelvin temperature will a sample of gas occupy 12 liters if the same sample occupies 8 liters at 27 ℃?

Mar 7, 2016

${T}_{1} = 450 K$

#### Explanation:

Since the gas it is getting compressed with a change on temperature, we consider that the pressure is constant, and of course the number of mole is constant (same gas), therefore, from the ideal gas law $P V = n R T$ we can say:

$\frac{V}{T} = \text{ constant}$

Therefore, $\frac{{V}_{1}}{{T}_{1}} = \frac{{V}_{2}}{{T}_{2}} \implies {T}_{1} = {V}_{1} \times \frac{{T}_{2}}{{V}_{2}}$

$\implies {T}_{1} = 12 \cancel{L} \times \frac{300 K}{8 \cancel{L}} = 450 K$