Use ideal gas law to determine number of moles of gases:
p*V = n*R*T, where p is pressure in Pa, V is volume in m3, n is number of moles, R = 8.314 J/(K*mole), T is temperature in K.
Initial amount of ammonia was:
n(NH3) = 0.452*101325 Pa * 0.010 m3 / 8.314 J/(K*mole) / (22+273 K) = 0.1867 mole.
Initial amount of hydrogen chloride was:
n(HCl) = 7.50*101325 Pa * 0.000155 m3 / 8.314 J/(K*mole) / 271 K = 0.0523 mole.
After the reaction:
NH3(g) + HCl(g) = NH4Cl(s)
the flask contains 0.1867 - 0.0523 = 0.1344 mole of gaseous ammonia, because ammonia was in excess. Its pressure is:
p = 0.1344 mole * 8.314 J/(K*mole) * (22+273 K) / 0.010 m3 = 32963 Pa = 0.325 atm.
Answer: final pressure is 0.325 atm
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