Question #90973

What is the density of ethane gas, C2H6, at a pressure of 183.4 kPa and a temperature of

25 °C?

25 °C?

Expert's answer

We will count out density from the ideal gas law:

PV = m/Mr * RT, were R - ideal gas constant, T - temperature in kelvins; P - pressure, V - volume, m - mass of gas, Mr - molar mass;

T = t + 273.15 = 25 + 273.15 = 298.15 K;

Mr = 12 * 2 + 6 *1 = 30;

P = 183.4 kPa = 183400 Pa;

R = 8.314 m^{3}⋅Pa⋅K^{−1}⋅mol^{−1};

183400V = m/30 * 8.314 * 298.15;

183400V = 82.63m;

V = 82.63m/183400 = 0.00045m;

Then, the formula of density is:

ρ = m/V = m/0.00045m = 1/0.00045 = 2222.22 g/m^{3} = 2.22 kg/m^{3}

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