First slide

laws

Question

1 mole of H₂ gas is contained in a box of volume V = 1.00 m³ at T = 300 K. The gas is heated to a temperature of T = 3000 K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)

Moderate

A

same as the pressure initially
B

2 times the pressure initially
C

10 times the pressure initially
D

20 times the pressure initially

Solution

Final number of moles n₂ = 2
$\large \frac{{{P_1}{V_1}}}{{{n_1}{T_1}}}\, = \,\frac{{{P_2}{V_2}}}{{{n_2}{T_2}}}\, \Rightarrow \frac{{PV}}{{1 \times 300}}\, = \,\frac{{{P_2}V}}{{2 \times 3000}}$
P₂ = 20P

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