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Answer 1 · 2014-04-27T22:08:31

The pressure gauge will read 12.4 atm.

What gas law should you use? Boyle's Law, Charles' Law, Gay-Lussac's Law, Avogadro's Law, the Combined Gas Laws, or the Ideal Gas Law?

Let's list what you know.

$P_{1}$ $P_1$ = 12.0 atm; $V_{1}$ $V_1$ = 5.00 L; $T_{1}$ $T_1$ = 295 K
$P_{2}$ $P_2$ = ?; $V_{2}$ $V_2$ = 5.00 L; $T_{2}$ $T_2$ = 308 K

The volume doesn't change, because the metal tank has a constant volume. You can ignore the volume change, because there is none.

The only variables are pressure and temperature. This is a Gay-Lussac's Law Problem (you could also use the Combined Gas Laws, since you know the volumes).

$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$ $P_1/T_1= P_2/T_2$

$P_{2} = P_{1} \times \frac{T_{2}}{T_{1}}$ $P_2 = P_1 × T_2/T_1$ = 12.0 atm × $\frac{308 K}{295 K}$ $(308" K")/(295" K")$ = 12.5 atm.

The pressure in the tank is 12.5 atm.

This makes sense. We expect the pressure of a confined gas to increase as the temperature increases.

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