Answer: 21850.42mmHg or 28.78atm
Explanation: From the equation of the reaction, 2 moles of sodium reacts with 2 moles of water to produce 2 moles of NaoH and 1 mole of hydrogen gas at s.t.p.
molar volume of gas at s.t.p. = 22.4dm^3,
standard temperature = 0°C or 273K,
standard pressure = 760mmHg or 1atm,
molar mass of Na = 23g;
volume of the container= 20L or 20dm^3
From the equation, 2 moles or 46g of Na produces i mole or 22.4 dm^3 of hydrogen.
Therefore, 1kg or 1000g of Na will produce 22.4 * 1000/(46)= 486dm^3 of hydrogen.
To find the pressure of the gas produced, the formula P1V1/T1 = P2V2/T2
P1= 760mmHg, T1= 273K, V1 (initial volume of gas)= 486dm^3, T2=50.0°C or 50+273K= 323K, V2( final volume of gas= volume of vessel)=20dm^3 P2=?
P1= P1V1*T2/(V2T1)= 760mmHg * 323/(273)= 21850.42mmHg or 1atm*21850.42/760= 28.78atm
