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
1

Expert's answer

2018-07-30T06:09:42-0400

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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