Question #79429

A 2 litre flask contain 1.6gm Methan and 0.5gm hydrogen at 27c calculate the partial pressure of each gas in the mixture and hence calculate the total pressure

Expert's answer

Answer the Question #79429

V=2 l.

m(CH4)=1.6 gm_{(CH4)} = 1.6\ \text{g}

m(H2)=0.5 gm_{(H2)} = 0.5\ \text{g}

T=27C=300 KT = 27^{\circ} \text{C} = 300\ \text{K}

P(CH4)=?P_{(CH4)} = ?

P(H2)=?P_{(H2)} = ?

Ptot=?P_{\text{tot}} = ?

Formula: PV=(mRT)/MPV = (mRT)/M therefore P=(mRT)/MVP = (mRT)/MV

and Ptot=P(CH4)+P(H2)P_{\text{tot}} = P_{(CH4)} + P_{(H2)}

P(CH4)=(1.6×8.314×300)/(16×2)=124.71 kpaP_{(CH4)} = (1.6 \times 8.314 \times 300) / (16 \times 2) = 124.71\ \text{kpa}

P(H2)=(0.5×8.314×300)/(2×2)=311.775 kpaP_{(H2)} = (0.5 \times 8.314 \times 300) / (2 \times 2) = 311.775\ \text{kpa}

Ptot=124.71+311.775=436.485P_{\text{tot}} = 124.71 + 311.775 = 436.485

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